| No. of vertices | Intersection Array | Graph |
| 70 | $\{4,3,3,2,2,1,1;1,1,2,2,3,3,4\}$ | Doubled Odd graph $D(O_4)$ |
| 102 | $\{3,2,2,2,1,1,1;1,1,1,1,1,1,3\}$ | Biggs-Smith graph |
| 128 | $\{7,6,5,4,3,2,1; 1,2,3,4,5,6,7\}$ | 7-cube $Q_7 \cong H(7,2)$ |
| 2048 | $\{22,21,20,16,6,2,1;1,2,6,16,20,21,22\}$ | Double coset graph of truncated binary Golay code |
| 2187 | $\{14,12,10,8,6,4,2;1,2,3,4,5,6,7\}$ | $H(7,3)$ |
| 3432 | $\{49,36,25,16,9,4,1;1,4,9,16,25,36,49\}$ | $J(14,7)$ |
| 4096 | $\{23,22,21,20,3,2,1;1,2,3,20,21,22,23\}$ | Double coset graph of binary Golay code |
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Last updated: 12 August 2024