  Mielke-Baekler gravity consists in the usual Einstein-Hilbert action with a
cosmological term and rotational and translational Chern-Simons terms with
arbitrary couplings. For a particular choice of these couplings, we can obtain
Einstein-Hilbert action, its teleparallel equivalent, and the exotic Witten's
gravity.
  In this work, we use the Chern-Simons formalism to generalize the three
dimensional Mielke-Baekler gravity theory in order to introduce spin-3 fields.
We study its asymptotic symmetries, black hole solution, and also analyse its
canonical structure at its singular point.
