Car Shuts Down At 5300 Rpm

I have a 95 gt auto, 182,000 miles that i run every day and race on the weekends. I shift at about 5 grand every time but two times now at the track I was a little late on shifting(lost both races of course) and the car literally died, no popping or sputtering or anything it just like shut off for a second then when the rpms went down after shifting it picked back up. I tried it on the way home and every time at about the same rpm it does it. I am thinking fuel pump. If it is would it hurt to put in a 190 lph pump to cover future mods or would it be too much. The only mods I have done are ud pullies, long tubes with off road h and flows, 373s, cold air intake, and the best mod so far- a 9.5 stallion 2500 stall. My best time so far is 14.097 @ 96.31 with a 1.923 60ft on hankook 275/40/17 street tires. Any input would be greatly appreciated.
 
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Two things to think about.

1) With that many miles on the clock, your valve springs most likely are tired.

2) The auto pcm has a rev limiter that is set pretty low. Sorry I don't remember the exact rpm but I do know it is low.

Later
Grady