Your C6 Corvette's TPMS system is easy to reset. Most tire shops will reset your sensors for free for you (although it helps to know this procedure to help them out). I autocross whenever I can, so I swap my tires a couple of times a month. I've used this particular TPMS reset tool for several years now (although I know there are others on the market, this has worked flawlessly for many years now).

The TPMS tool from the video can be found here: Kent-Moore EL-50448 Tire Pressure Monitor Sensor Activation Tool

The sensors: ACDelco 20925924 GM Original Equipment Green Tire Pressure Sensor with Cap, Grommet, and Valve Kit

The nut that you need: ACDelco 15234846 GM Original Equipment Tire Pressure Indicator Sensor Nut

This video is provided by YouTube. There is an icon in the lower right corner of the YouTube video player that will allow you to watch it full screen.