A cutting insert for a tool for machining a workpiece, comprising a first side, an opposite second side and a bore running along a bore axis. The bore penetrates the cutting insert and extends from the first side to the second side. The cutting insert comprises at least three cutting heads arranged distributed on a periphery of the cutting insert, wherein each of the at least three cutting heads comprises a cutting edge, which runs transversely to the first side and the second side and extends between the first side and the second side. The at least three cutting heads comprise a first cutting head, a second cutting head, which in a peripheral direction directly follows the first cutting head, and a third cutting head, which in the peripheral direction directly follows the second cutting head. The cutting insert has a first support surface arranged on the first side, which first support surface runs orthogonal to the bore axis and at least partially surrounds the bore. The cutting insert is rotationally symmetric to the bore axis and mirror-symmetric to a center plane which runs perpendicular to the bore axis and divides the cutting insert into two equally sized halves. Viewed in a top view along the bore axis, an imaginary straight connecting line between the cutting edge of the first cutting head and the cutting edge of the third cutting head intersects neither the bore nor the first support surface.