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In this article, we give a concrete description of the underlying reducedsubscheme of the Rapoport--Zink spaces for spinor similitude groups withspecial maximal parahoric (and non-hyperspecial) level structure. Moreover, wegive two applications of the above result. One of which is describing thestructure of the basic loci of mod $p$ reductions of Kisin--Pappas integralmodels of Shimura varieties for spinor similitude groups with special maximalparahoric level structure at $p$. The other is constructing a variant of theresult of He, Li and Zhu, which gives a formula on the intersectionmultiplicity of the GGP cycles associated codimension $1$ embeddings ofRapoport--Zink spaces for spinor similitude groups.

Rapoport--Zink spaces for spinor groups with special maximal parahoric level structure