As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
CREW REPORTED THAT AT ROTATION, FELT A VIBRATION BUT WERE PAST THE SPEED TO ABORT AND CONTINUED TAKEOFF. LEVELED OFF WITH GEAR DOWN AND DECLARED AN EMERGENCY. RETURNED TO DEPARTURE AND LANDED WITHOUT INCIDENT. MAINTENANCE FOUND THE NR 3 TIRE SHREDDED ALONG WITH THE 2 AFT DOORS AND THE FWD LT GEAR DOOR DAMAGED. MAINTENANCE REPLACED BOTH MAIN TIRES ALONG WITH GEAR DOORS AND PERFORMED GEAR SWINGS IAW AMM AND OPS CHECKED GOOD. ACFT IS GOOD FOR SERVICE.