MD-11
Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Aircraft Equipment Problem Less Severe
Flight Crew Requested ATC Assistance / Clarification; General Maintenance Action
Aircraft
Approximately 5 minutes after departure; received a Level 2 'Brake Overheat' Alert. The CONFIG synoptic showed the right center brake at 550 degrees and the rest of the brakes were approximately 90 degrees. We stopped our climb; slowed to 250 K and IAW [In Accordance With] the checklist; lowered the gear. The brake immediately started cooling. At 300 degrees; we raised the gear and continued our flight. We communicated with Dispatch and Maintenance Control via SATCOM and relayed the info. We decided we would land using 50 flaps and manual brakes. The plan was to roll out to the end of the runway allowing the aircraft to slow as much as possible without applying the brakes. We coordinated this with Tower on final. We also briefed and prepared to execute an emergency ground egress if necessary.  Enroute; the brake continued to slowly cool and on final was 90 degrees. Landing and rollout were uneventful.  During taxi back to parking; the brake temperature started to increase again about 150 degrees hotter than the rest of the brakes. We had [ground personnel] check the temps before we shut down completely or allowed the ground crew to approach the aircraft. The brake peaked at about 350 degrees and the other brakes showed 150 degrees or less. The First Officer did an outstanding job throughout coordinating our intentions and ensuring all checklists and special steps we had discussed were accomplished.
MD-11 Captain reported the right center brake showed an overheat at 550 degrees about 5 minutes after departure.  The flight landed normally.