Car runs fine then starts to sputter a bit and stalls

Time varies sometimes it takes 5 mins other times it takes 40.

The car runs fine, Other than the described problem.
I replaced the Fuel filter(a lot of dirt came back out of it), The distributor cap(It had a crack in it). I was thinking to replace the ignition coil.

It seems to run fine, drives smooth no missing or roughness, UNTIL whatever happens it starts to sputter and hesitate a bit then shuts off I still have power(battery is new also even cleaned off the corrosion) just the engine seems to shut off. It seems to not shut off sometimes when I mash the gas but its only a temporary thing adds a few mins till it happens again.

I took the tubes off the fuel filter and turned my key (not on but turned to start fuel pump) and gas came out so I don't think it's my fuel pump, Though I don't know It could be I'm far from knowledgeable on cars. I've put dry gas in my tank and fuel injection cleaners in my tank in-case it was dirty gas or water in the tank nothing seems to fix it.