As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
PILOT REPORTED, OBSERVED THE LEFT TAILPIPE HOT LIGHT ILLUMINATED SHORTLY AFTER TAKE-OFF. PILOT SHUT DOWN THE LEFT ENGINE DECLARING AN EMERGENCY, AND RETURNED TO FIELD. CLEANED MOISTURE FROM LEFT TAILPIPE SENSOR CONNECTIONS AND RESEALED. PERFORMED GROUND RUN, OPERATIONAL CHECK OF LEFT TAILPIPE OVERHEAT SYSTEM GOOD. AIRCRAFT RETURNED TO SERVICE.