Esa lista no sirve de nada, vamos creo yo... No creo que los errores sean los mismos para un e39 que para otro modelo de bmw, por algo la puse en el apartado de e39 sino la pongo en el general.
Si te fijas la la lista viene organizada por la DME y tipo motor llevas . Es decir en tu caso tienes que buscar motor M62 y DME 5.2 o DME 5.2.1, por el año de fabricación de tu coche.
//0x01290000 DME M5.2 M62
0x01290001 1 Activation, leakage diagnosis pump
0x01290002 2 Fuel-circuit changeover
0x01290003 3 Leakage diagnosis pump
0x01290004 4 Oxygen-sensor heater after cat. comverter cylinder 5-8
0x01290005 5 Oxygen-sensor heater before cat. converter cylinder 5-8
0x01290006 6 CAN instrumentation
0x01290008 8 Misfiring was caused by tank having been run dry
0x0129000A 10 Oxygen sensor before catalytic converter cylinder 1-4
0x0129000C 12 Oxygen sensor after catalytic converter cylinder 1-4
0x0129000D 13 Oxygen-sensor heater before cat. converter cylinder 1-4
0x0129000E 14 Oxygen-sensor heater after cat. conberter cylinder 1-4
0x0129000F 15 Oxygen-sensor ageing TP before cat. conv. cylinder 1-4
0x01290010 16 Oxygen-sensor ageing TV before cat. conv. cylinder 1-4
0x01290011 17 Oxygen-sensor ageing after cat. converter cylinder 1-4
0x01290012 18 Oxygen-sensor ageing before cat. conv. cyl. 5-8
0x01290014 20 Oxygen sensor after catalytic converter cylinder 5-8
0x01290015 21 Oxygen sensor ageing TP before cat. conv. cylinder 5-8
0x01290016 22 Oxygen sensor ageing TV before cat. conv. cylinder 5-8
0x01290017 23 Oxygen sensor ageing after cat. converter cylinder 5-8
0x01290018 24 Diagnosis of function air conditioner compressor
0x0129001A 26 Multiplicative mixture adapt'n (Part load) cylinder 1-4, control limit reached
0x0129001B 27 Additive mixture adaptation (idle) cylinder 1-4, control limit reached
0x0129001C 28 Additive mixture adaptation (idle) cylinder 1-4, control limit reached
0x01290020 32 Idle speed actuator blocked
0x01290022 34 Multiplicative mixture adapt'n (part load) cylinder 5-8, control limit reached
0x01290023 35 Additive mixture adaptation (idle) cylinder 5-8, control limit reached
0x01290024 36 Additive mixture adaptation (idle) cylinder 5-8, control limit reached
0x01290027 39 Electronic car immobilisation system (EWS)
0x01290028 40 Cat. -converter conversion, cylinder 1-4
0x0129002D 45 Cat. -converter conversion, cylinder 5-8
0x01290032 50 Misfire, cyl. 1
0x01290033 51 Misfire, cyl. 2
0x01290034 52 Misfire, cyl. 3
0x01290035 53 Misfire, cyl. 4
0x01290036 54 Misfire, cyl. 5
0x01290037 55 Misfire, cyl. 6
0x01290038 56 Misfire, cyl. 7
0x01290039 57 Misfire, cyl. 8
0x0129003E 62 Misfiring, sum, relevant to exhaust gas
0x0129003F 63 Misfiring with cylinder cutout, cyl. 1
0x01290040 64 Misfiring with cylinder cutout, cyl. 2
0x01290041 65 Misfiring with cylinder cutout, cyl. 3
0x01290042 66 Misfiring with cylinder cutout, cyl. 4
0x01290043 67 Misfiring with cylinder cutout, cyl. 5
0x01290044 68 Misfiring with cylinder cutout, cyl. 6
0x01290045 69 Misfiring with cylinder cutout, cyl. 7
0x01290046 70 Misfiring with cylinder cutout, cyl. 8
0x0129004B 75 Misfiring with cylinder cutout, total
0x0129004E 78 Speed-sensor signal
0x0129004F 79 Secondary-air pump, stage 2 (output stage)
0x01290050 80 Secondary-air system
0x01290054 84 Secondary-air pump (output stage)
0x01290055 85 Secondary-air valve (output stage)
0x0129005B 91 Tank-ventilation valve,output stage, bank 2
0x0129005D 93 Tank-ventilation system
0x01290061 97 Tank-leak detection: minor leak
0x01290062 98 Tank-ventilation-valve output stage
0x01290065 101 Control module defective (internal RAM)
0x01290066 102 Control module faulty (external RAM)
0x01290067 103 Control module defective (ROM)
0x01290068 104 Wrong values in fault memory
0x0129006B 107 Terminal 15 power supply
0x0129006C 108 Continuous voltage (+)
0x0129006F 111 Crankshaft position sensor
0x01290070 112 Camshaft position sensor
0x01290073 115 Hot film mass air flow sensor
0x01290075 117 Throttle-valve potentiometer
0x01290078 120 Road speed
0x01290079 121 Load measurement
0x0129007B 123 Engine-temperature sensor (coolant)
0x0129007C 124 Intake-air temperature sensor
0x01290082 130 Oxygen sensors before catalytic converter inverted
0x01290086 134 Tank fill level
0x01290087 135 Engine intervention /specified engine torque (gearbox intervention)
0x0129008A 138 Compressor intervention
0x0129008B 139 Activation, map cooling
0x0129008C 140 Engine torque, bank comparison
0x0129008D 141 Dynamic stability control (SDC) intervention with fadeout
0x0129008F 143 Engine drag-torque control (MSR) intervention
0x01290090 144 Automatic stability control ASC intervention
0x01290093 147 Function, map cooling
0x01290094 148 Interface, electronic engine immobilizer
0x01290095 149 Inlet-camshaft setting, bnak 2
0x01290096 150 Fuel injector, cyl. 1
0x01290097 151 Fuel injector, cyl. 2
0x01290098 152 Fuel injector, cyl. 3
0x01290099 153 Fuel injector, cyl. 4
0x0129009A 154 Fuel injector, cyl. 5
0x0129009B 155 Fuel injector, cyl. 6
0x0129009C 156 Fuel injector, cyl. 7
0x0129009D 157 Fuel injector, cyl. 8
0x012900A3 163 Electric-fuel-pump relay
0x012900A5 165 Exhaust-gas warning lamp ("CHECK ENGINE" lamp is fitted in US vehicles only)
0x012900A7 167 Electric-fuel-pump relay output stage
0x012900A8 168 Idle speed actuator for opening coil
0x012900A9 169 Idle speed actuator for closing coil
0x012900AA 170 A/C-compressor control
0x012900AE 174 Camshaft control, bank 1
0x012900B2 178 Camshaft control, bnak 2
0x012900B3 179 A/C-compressor control, bank 2
0x012900BC 188 Exhaust-gas warning lamp, bank 2 ("CHECK ENGINE" lamp is fitted is UD vehicles only)
0x012900BD 189 Inlet-camshaft setting, bnak 1
0x012900CB 203 Ignition-circuit monitoring
0x012900CC 204 EWS random-code storage
0x012900D0 208 Secondary-air system
0x012900D2 210 Knock sensor 1
0x012900D3 211 Knock sensor 2
0x012900D4 212 Knock sensor 3
0x012900D5 213 Knock sensor 4
0x012900D6 214 Controller Area Network (CAN) interface, version No.
0x012900D7 215 Controller Area Network (CAN) interface, Digital Motor Electronics (DME) timeout
0x012900D8 216 Controller Area Network (CAN) interface, Dynamic Stability Control (DSC) timeout
0x012900D9 217 Controller Area Network (CAN) interface, Electronic engine-power control (EML) timeout
0x012900DC 220 Knock control
0x012900DE 222 Knock-control test pulse
0x012900E4 228 Automatic excess-fuel starting device output stage, bank 2
0x012900E9 233 Automatic excess-fuel starting device output stage
0x012900EA 234 Starting signal
0x012900EC 236 Controller Area Notwork (CAN) interface, Electronic gearbox control (EGS) timeout
0x012900ED 237 Automatic excess fuel starting device