A thread cutting insert for cutting threads includes a plurality of cutting teeth disposed along a cutting portion, each cutting tooth is provided with an allocated chip former, and the chip formers are provided on a rake face of the thread cutting insert. The shape of at least two cutting teeth is different from each other. At least one cutting tooth along the cutting portion is provided with an allocated chip former the shape of which is adapted to the shape of that cutting tooth which, with respect to an order of engagement during cutting operation, precedes the subsequent cutting tooth along the cutting portion such that the at least one chip former has a shape adapted to the cross-section of chips encountered by it. A set of at least two thread cutting inserts, a thread cutting tool and a method for cutting threads, are also provided.