For transitive subshifts of finite type and sofic shifts, the measure of maximal entropy is unique. This fails for coded shifts, which form a natural generalization of these classes. While non-uniqueness is often viewed as pathological, it is still possible to obtain a detailed description of entropy maximizing measures in this setting. We discuss coded shifts that are not intrinsically ergodic and show that an ergodic measure of maximal entropy can be associated with a generator for which it is Bernoulli. This perspective provides a unified framework for understanding both uniqueness and non-uniqueness of entropy maximizing measures and yields explicit descriptions even in non-intrinsically ergodic settings.