This graph is the antipodal quotient of the Johnson graph $J(14,7)$.
| Number of vertices: | $1716$ |
| Diameter: | $3$ |
| Intersection array: | $\{49,36,25;1,4,9\}$ |
| Spectrum: | $49^1 23^{77} 5^{637} (-5)^{1001}$ |
| Automorphism group: | $\mathrm{S}_{14}$ |
| Distance-transitive: | Yes |
| Primitive |