HI,

tricky, when the engine stops do you have a spark at the plugs, and is there any fuel at the injectors or in the fuel rail, check your 2 relays ie power relay and fuel pump relay inc fuses for them, also check your crank pulley lugs are clean, lugs x4, and check the air gap at the tdc sensor, also check air gap for phase sensor make sure tdc sensor is clean for a good signal, check all the other sensors map,, phase sensor, ignition amp etc for good clean connection, and check hoses for vacuum leaks, last check voltage at fuel pump 12v,the relays are yellow.
Dave.