Automorphisms of distance-regular graph with intersection array $\{25,16,1;1,8,25\}$

Makhnev and Samoilenko have found parameters of strongly regular graphs with no more than 1000 vertices, which may be neighborhoods of vertices in antipodal distance-regular graph of diameter 3 and with $\lambda=\mu$. They proposed the program of investigation vertex-symmetric antipodal distance-regular graphs of diameter 3 with $\lambda=\mu$, in which neighborhoods of vertices are strongly regular. In this paper we consider neighborhoods of vertices with parameters $(25,8,3,2)$.