This isn't a great car to launch.
Are you spinning(driver mod) or is there wheel hop? What tires do you currently have?
These cars are known for suspension failure that could also make it harder to launch.
2003 Corvette Z06 - MGW shifter, Corsa X pipe, Corsa Xtreme exhaust, PowerStop rotors/pads, Conti DWS tires, C6Z51 F&R sways, Depo C5R headlights(not installed yet)
04 GTO - sold