  Following Weinstein, Boyarchenko-Weinstein and Imai-Tsushima, we construct a
family of affinoids in the Lubin-Tate perfectoid space and formal models such
that the cohomology of the reduction of each formal model realizes the local
Langlands correspondence and the local Jacquet-Langlands correspondence for
certain representations. In the terminology of the essentially tame local
Langlands correspondence, the representations treated here are characterized as
being parametrized by minimal admissible pairs in which the field extensions
are totally ramified.
