This graph is a rank-7 $\mathrm{SRG}(1716,882,456,450)$. It is the distance 1-or-2-or-4 graph of the Johnson graph $J(13,6)$.
| Number of vertices: | $1716$ |
| Diameter: | $2$ |
| Intersection array: | $\{882,425;1,450\}$ |
| Spectrum: | $882^1 24^{714} (-18)^{1001}$ |
| Automorphism group: | $\mathrm{S}_{13}$ |
| Distance-transitive: | No |
| Primitive |