1986 BMW 325 Starts then dies?

My car will crank and start but then die out like its not getting fuel which its not the car will run on starting fluid but I dont wanna do it for too long in case I hurt something in the car. But I have tested the injectors and they will pusle with a pulse tester from matco and they are spraying fuel but I test the electrical current with a test light and both wires are hot? So I guess my injectors are grounding themselves somewhere else I used the bentley manual and checked and cleaned the ground connections. Ive asked my dad who has worked on cars for 20+ years ive worked on cars 10+ years and we asked a import shop who my dad went to school with he races audi cars. They have given me some ideas but without them looking at it they probably wont be able to tell me exactally ive slowly narrowed it down to the injector issue. But not the injectors themselves. I dont know if youve ever heard of this problem before but I really need some help :( the car has sat about 6 years but it starts and fires just fine ive changed oil and other stuff you should change. Thanks for any help,
Nick