TLDR I want to see more examples of exotic $4$-manifold (hopefully connected, simply connected, oriented, and closed).

Are there known presentations of $4$-manifolds $M$ with exotic structures, whether in terms of Kirby linky data, PL-triangulations, or any other constructions? There are a few given in Akbulut's book [1], but they are $4$-manifolds with boundaries.

Mainly, I am looking for those $M$ that are oriented, connected, simply-connected and closed. But really, any pointers to any example with exotic smooth structures are appreciated.

[1] 4-Manifolds - Selman Akbulut