Cessna Citation Sovereign First Officer reported an engine vibration message on initial climb that resulted in a diversion to a nearby airport.

Narrative

Both crew members were well rested; current and proficient. The plan was to fly from ZZZ to ZZZ1 stop for fuel; then continue onto ZZZ2. We had carefully reviewed the Brief Card for ZZZ2; the approach; the weather; etc. I was PM in the right seat. Shortly after take off with the engines set at takeoff power; the ENGINE VIBRATION R CAS (Crew Alerting System) message displayed briefly as well as the Master Warning light. We reset the Master Warning and began the Engine vibration check list. We informed ATC we were troubleshooting an issue and not declaring an emergency. Shortly thereafter; the same CAS message returned and this time remained on. The PF reduce the power on the right engine to idle and the CAS message cleared. We requested priority handling with ATC and informed ATC of our intentions to divert to ZZZ3; as briefed before take off. We completed the normal checklists and informed the passengers of the diversion and to expect the fire trucks out of an abundance of caution. We reviewed the single engine go around procedure; just in case. The landing and roll out were normal and the fire trucks followed us to the ramp. Normal shut down. Engine oil level was normal with no leaks observed. To visible exterior damage to the engine was observed. Maintnence will inspect the engine and complete any necessary repairs before the aircraft is returned to service. This event reinforced the importance of a complete departure brief as it reduced our work load at a critical phase of flight.