  In this paper we consider the Kleinian groups acting conformally on the
sphere $\mathbb{S}^{n+2}$ $(1\leq{n}\leq5)$ which have as limit sets wild
spheres $K^n$ which were constructed in \cite{BHV} and prove that $K^n$ is
ambient homogeneous. In other words, given two points $p,\,\,q\in{K}$ there
exists a homeomorphism $\psi:\mathbb{S}^{n+2}\rightarrow\mathbb{S}^{n+2} $ such
that $\psi(K)=K$ and $\psi(p)=q$.
