What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
Pilots noticed the right (number 2) engine was starting to vibrate enroute to their home base. Pilots decided to return to sus. After turning around, the engine began to vibrate more severely and began to run rough. The pilots ran through the in-flight emergency engine shutdown procedures and declared an emergency. The aircraft landed with no further issues. Maintenance personnel found the number 9 cylinder cracked at the exhaust port.
As the FAA filed it
PILOTS NOTICED THE RIGHT (NUMBER 2) ENGINE WAS STARTING TO VIBRATE ENROUTE TO THEIR HOME BASE. PILOTS DECIDED TO RETURN TO SUS. AFTER TURNING AROUND, THE ENGINE BEGAN TO VIBRATE MORE SEVERELY AND BEGAN TO RUN ROUGH. THE PILOTS RAN THROUGH THE IN-FLIGHT EMERGENCY ENGINE SHUTDOWN PROCEDURES AND DECLARED AN EMERGENCY. THE AIRCRAFT LANDED WITH NO FURTHER ISSUES. MAINTENANCE PERSONNEL FOUND THE NUMBER 9 CYLINDER CRACKED AT THE EXHAUST PORT.