Also, check on the power supply. You may have a noisy supply, not have enough decoupling caps or not have enough isolation/ filtering from other circuits on the same supply. The noise peaks seem somewhat periodic... do you have anything else on the system running at that frequency? Are you using switching supply, and if so, is it some multiple of the noise you are seeing?
Also, if you are using ferrite beads (inductor) for supply filter, it can resonate with the decoupling cap.
Good luck.