In this talk, we will discuss a way of constructing diffeomorphic families of different Weinstein manifolds via Lefschetz fibrations. We focus on the construction of an exotic pair (X, Y), where X is the Milnor fiber of A-type on dimension 6. If time allows, we will discuss two generalizations of the construction. One is to consider the case of higher dimensions, and the other is to consider Milner fibers of other types. This talk is based on joint work with Dongwook Choa (KIAS) and Dogancan Karabas (Northwestern University).