Does it shut off like you are turning the key off, or does it act like it is running out of fuel? This is going to be a good one... I'd say tow it to my shop and let me have a go at it!
Will it restart after it dies with all the injectors plugged in?
Are the injectors the correct ones for the car?
How many amps are they pulling with 5 plugged in? all 6?
Ground wires ok, connections clean?
All I can think of now, my older brother was big into the 280z's and 280zx's. Been awhile since I wrenched on though.
[This message has been edited by topher_time (edited 05-27-2009).]