C310 pilot reported the right engine began surging after takeoff making aircraft control difficult. Pilot returned to departure airport and landed safely.

Narrative

I was cleared for takeoff on runway XXR at ZZZ; after completing a successful run-up and takeoff briefing using the c310r checklist in my airplane. While climbing after rotation at 93kias; I noticed the right engine EGT needle climbing above its normal indication; and advanced the right mixture lever to add fuel to the engine with the ambition of cooling the right engine EGT into its normal range. The exhaust gas temperature did not decrease; and while monitoring the EGT gauge; I received atc instruction to turn left heading 340. While initiating the left turn I experienced an uncommanded power reduction on the right engine; followed by power surging (increasing and decreasing production of thrust on the right engine without advancing or receding the throttle levers on the throttle quadrant) maintained positive airplane control; and pitched for blue line (106kias). I immediately notified atc of the surging I experienced on the right engine; and was cleared to land runway XXL at ZZZ after [requesting priority handling]. While making small power adjustments in preparation for landing; large power differentials between the left and right engine were prominent; with the right engine producing the most fluctuations between the two engines which were audible from within the cockpit. The left engine remained stable (in terms of temperature and power production) during the entire flight. I lowered the landing gear; confirmed the gear was down and locked with three green lights visible on the instrument panel; configured the flaps for landing; told atc landing was assured when I was safely within landing range of runway XXL; and landed successfully on the runway surface without requiring subsequent medical or ground operations assistance. I taxied to my assigned parking space; shade hangar at ZZZ; and secured the airplane. The airplane has been scheduled for engine diagnostics with a ZZZ-based aircraft maintenance facility at their earliest convenience.