The techniques developed in the paper for obtaining improved upper bounds on the number of non-zero weights of constacyclic codes can be extended to other families of linear codes by considering different automorphism groups and their actions on the codes. For example, one could explore the use of larger subgroups of the automorphism group to derive tighter upper bounds for cyclic codes, negacyclic codes, and other families of linear codes. By carefully analyzing the group actions and orbits of non-zero elements, similar results can be achieved for different types of linear codes. Additionally, the concept of group actions and orbits can be applied to non-constacyclic codes to establish upper bounds on the number of non-zero weights in those codes as well.