These are the bipartite doubles of the halved Leonard graphs.
| Number of vertices: | $288$ |
| Diameter: | $3$ |
| Intersection array: | $\{66,65,36;1,30,66\}$ |
| Spectrum: | $66^1 6^{71} (-6)^{71} (-66)^1$ |
| Automorphism group: | $(M_{12}:2)\times 2$ |
| Distance-transitive: | No |
| Bipartite |