As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
CLIMBING THROUGH APPROX 12,000 FT LOUD THUMP AND SLIGHT YAW TO THE RIGHT. RIGHT ITT WAS IN A RAPID SHIFT DECREASING ON NR 2 ENGINE. PILOT RIDING IN THE BACK SAW A BASKETBALL SIZE BALL OF FLAME EXIT THE NR 2 ENGINE. EVENT MARKER PUSHED. REPLACED NR 2 ENGINE. OPS AND LEAK CHECKS GOOD.