engine chug spit and spudder with sct

[woodsenterprises]

my 6.0 when ever i have my sct on race or street and go to really get in to the throttle it will chug and seem like its not geting enoughf fuel so i put a lift pump on it still the same thing could it be that i would need a larger high pressure oil pump since the injectors run on oil pressure ? or r my stock fuel lines too small ? (i have stock injectors and turbo) any advice would be great

thanks guys