| Number of vertices: | $2187$ |
| Diameter: | $7$ |
| Intersection array: | $\{14,12,10,8,6,4,2;1,2,3,4,5,6,7\}$ |
| Spectrum: | $14^1 11^{14} 8^{84} 5^{280} 2^{560} (-1)^{672} (-4)^{448} (-7)^{128}$ |
| Automorphism group: | $S_3\text{Wr}S_7$ |
| Distance-transitive: | Yes |
| Primitive |