Small $AT4$-graphs and strongly regular subgraphs corresponding to them

Let $\mathcal M$ be the class of strongly regular graphs for which $\mu$ is a nonprincipal eigenvalue. Note that the neighborhood of any vertex of an $AT4$-graph lies in $\mathcal M$. Parameters of graphs from $\mathcal M$ were described earlier. We find intersection arrays of small $AT4$-graphs and of strongly regular graphs corresponding to them.