Somewhere in the neighborhood of 380 hp is the max power output for 24 lb injectors but this would be running at 100%, a big no-no. 350 horses is pushing 24 lb injectors, you may want to also think about bumping up to a bigger injector or higher pressure.
I would bet that your pump is not enjoying the high workload caused by a higher than normal duty cycle experienced by your injectors. A bigger pump will definitely not hurt, plus it will allow you to bump up the fuel pressure from 36 psi to 40 psi so you won't be needing larger injectors right away.