Chrysler Repair: 96 Chrysler TC Van quits at highway speeds, chrysler tc, tank action

Question
While driving my van, it occasionally stall, sometimes a week or more apart, and often going at 60 to70 mph...the rpm drops to zero, and the engine goes dead.  It does not seem to be weather or temperature related.  Sometimes I can immediately restart it, and it will run fine, other times, the engine will start, but after pulling to the side of the road, it will stumble at low RPMs almost like it's dieseling. I shut the ignition off and try to restart it. It will fire, stumble and die. After 15 to 20 tries, it will sometimes restart like nothing had ever happened and will go for a few more miles (10 to 30)and here we go again.  Then again it may not start up at all for several days, then starts ok.  It is a 96 Town and Country, 130000 miles.  I have changed the fuel filter.  I can hear the fuel pump run for one or two seconds when I turn the key, before I turn further to try to start it.  Sometimes it will start and run weakly if I flutter the gas pedal, then die a minute or two later.  I have taken it to the dealer, but he could not get any codes.  Here is the really strange part...several times I have towed it to a gas station, or limped in with the engine almost not running, but barely chugging, and if I add gas to the tank, it immediately starts up and runs like a champ for several days.  And, when I added gas, sometimes, I could only add 5 gal or so because the tank was more that half full...never was it down to the last quarter.  So far, every time, like 5 or 6 times, adding gas fixed the problem for a few days...Any ideas? Thanks. JB

Follow up question:  Richard, thanks for the good suggestions, I will be trying the tests you recommended...But, do you think the adding of gas to refill the tank action is important in solving this problem?...What could that act of filling the tank, even with 5 or 6 gallons, have to do with the T&C's problem...And, filling it has worked everytime to instantly make it run like a champ for several days.  ?  

Answer
Hi JB,
Your point is well taken. The deeper the fill of the tank, the greater is the pressure at the fuel intake of the pump so it the pump were weak it would be better able to put out the 50 or so psi it needs as a minimum to supply the injectors. So you might see if you can borrow or buy a pressure gauge and see what kind of pressure you have in the fuel rail when it is refusing to run. There is a port to tap into on the rail that provides fuel to the injectors. Please let me know which of the several engines that you might have when/if you write back so I can be more specific in any future answers.
Good luck on your efforts.
Roland