Obd 2 codes P0302-P0304-P0305-P1313-P1316 and P0778 2002 Jaguar X type 3.0

These numbers are OBD codes. They are misfire coding.
There is a youtube video to assist with troubleshooting.
Trouble shooting misfire Code P0300 P0301 P0302 P0303 P0304 P0305 P0306...

Good luck.
Semper Fi,
Z

the engine managment system on this car treats each bank as 2 seperate engines bank 1 and bank 2 the fault codes you have got are emission related. diagnosis is not easy because the ecu will use the other bank to compensate and alter its fueling etc to reduce emissions. the only way to sort it out is to put it on suitable diagnostic equipment and monitor live data ie. lambda sensors/ catalyst efficiency hope this helps

Try this site for misfire codes and their diagnosis:

P0308 OBD II Trouble Code

also here:

Trouble shooting misfire Code P0300 P0301 P0302 P0303 P0304 P0305 P0306...

and herea;

Title goes here

P0303 Code Cylinder 3 Misfire

http://www.obd-codes.com/p0303

Go to this site: http://www.engine-light-help.com/generic-check-engine-light-codes.html

Your 'generic' codes are there for OBD-II

the fault codes you have are all misfire codes p1313 and p1314 are manufactuer codes only. but they all point to same issue check the engine wiring harness under the air box for chaffing also the on plug coils are very unreliable the spark plug internal resistance is critical use only genuine plugs we had to change all 6 because pattern plugs had been fitted and check for water ingress in to the ecm/connector that may be the problem

DTC P0037; RIGHT-HAND CATALYST MONITOR SENSOR HEATER CONTROL CIRCUIT LOW/HIGH RESISTANCE
DTC P0300; RANDOM MISFIRE DETECTED, MISFIRE DETECTED, PRIMARY CIRCUIT MALFUNCTION
DTC P0305; RANDOM MISFIRE DETECTED, MISFIRE DETECTED,
P1316 IS A MISFIRED OF A CATALYST FOR EX.SPARK PLUG,INJECTOR PRESSURE ,IN GENERAL ITS THE MISFIRED DRIVE CYCLE ...SOMETHING IS FIRING PROPERLY..LET ME ASK HOW MANY MILES DO YOU HAVE.?AND CODE P1111 IS NOTHING TO BE WORRIED ABOUT ITS THE SYSTEM READINESS TEST THAT THE CARS ECM PERFORMS WHEN YOU CUT IT OFF EACH TIME...MAKES SURE THAT ALL IS FUNCTING WELL.

Odd one this to have P1111 as well.

According to my data P1111 is all dtc checks compleated, http://www.bluejag.co.uk however some websites show it as a Intake Air Temperature (IAT) Sensor Circuit Intermittent High Voltage, I'm fairly sure that the latter is incorrect.

check the basics first plugs, leads, corroded ground connections etc then its a bit of a guessing game


As for the other codes

P0301 = Misfire detected - cylinder 1
P1313 = Misfire rate catalyst damage - bank 1
P1316 = Misfire excess emission


Possible causes (as per JTIS):

Cylinder compression low
Worn camshaft / broken valve spring(s)
Fuel delivery pressure (low / high)
Fuel injector(s) restricted / leaking
Fuel injector(s) continuously open
Fuel contamination
Fuel injector circuit fault(s)
(Injector DTCs also flagged)
Spark plug failure / fouled / incorrect gap
ECM to ignition coil primary circuit fault
(Cylinder misfire detected DTC also
flagged)
Ignition coil failure

hope this helps

I recently starting having this problem also (only code p0305/308). That code means "miss-fire" on #2 cylinder. The #2 cylinder is the nearest cylinder on the right (closest to front of car on drivers side) if you are standing in the front of the car.

Well, the P in the code means powertrain.  As far as the code specifics, 
P1313 Misfire Rate Catalyst Damage Fault - Bank 1
P1316 Misfire Rate Exceeds Emissions

I would say check your spark plugs and wires.