definately a fuel related problem if its running good when adding fuel to it
To test he fuel system, turn the key on, the fuel system should be primed with a 2 second pulse. The fuel pressure should go up to 50-60psi and hold there. if you don't get good pressure right away, try priming it a few times and then start it....watch the pressure closely. You say it runs good for a minute then dies.....the pressure should stay around 60, and when you snap the throttle, it may drop down a bit, but should stay around 60psi.