As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
APPROX 1 MINUTE AFTER TO, THE TAILPIPE HOT LIGHT RT CAME ON. RAN CHECK LIST AND DID NOT GO OUT. SHUT DOWN ENGINE. RETURNED TO IND. THE LIGHT WENT OUT ABOUT THREE MINUTES AFTER SHUT DOWN. IT CAME ON AGAIN FOR ABOUT 5 SECONDS AND THEN WENT OUT AGAIN A FEW SECONDS LATER.