WARNING: This page is about a different car, the 2016 Jeep Wrangler and 2015 Jeep Wrangler. However, it is still accessible from the selected car via links, so may be relevant.
Possible Causes
MAXIMUM AMOUNT OF KEY PROGRAMMED INTO WCM/SKREEM
WIRELESS CONTROL MODULE (WCM)/SENTRY KEY REMOTE ENTRY MODULE (SKREEM)