| No. of vertices | Graph | Intersection Array |
| 77 | $\mathrm{M}_{22}$ graph | $\{16,15;1,4\}$ |
| 81 | Brouwer–Haemers graph | $\{20,18;1,6\}$ |
| 144 | Halved Leonard graphs | $\{66,35;1,30\}$ |
| 162 | Van Lint–Schrijver graph on 162 vertices | $\{6,5,5,4;1,1,2,6\}$ |
| 176 | $\mathrm{SRG}(176,70,18,34)$ | $\{70,51;1,34\}$ |
| 176 | $\mathrm{SRG}(176,105,68,54)$ | $\{105,36;1,54\}$ |
| 231 | Cameron graph | $\{30,20;1,3\}$ |
| 243 | Berlekamp–van Lint–Seidel graph | $\{22,20;1,2\}$ |
| 243 | Delsarte graph | $\{110,72;1,60\}$ |
| 243 | Coset graph of shortened ternary Golay code | $\{20,18,4,1;1,2,18,20\}$ |
| 280 | Unitals in $PG(2,4)$ | $\{9,8,6,3;1,1,3,8\}$ |
| 288 | Leonard graph | $\{12,11,10,7;1,2,5,12\}$ |
| 288 | Incidence graphs of Leonard semibiplanes | $\{66,65,36;1,30,66\}$ |
| 315 | Soicher's 3rd graph | $\{32,27,8,1;1,4,27,32\}$ |
| 330 | Doubly truncated Witt graph | $\{7,6,4,4;1,1,1,6\}$ |
| 352 | Incidence graph of Higman's symmetric design | $\{50,49,36;1,14,50\}$ |
| 352 | Taylor graph from Higman-Sims group | $\{175,102,1;1,102,175\}$ |
| 352 | Taylor graph from Higman-Sims group | $\{175,72,1;1,72,175\}$ |
| 486 | Koolen–Riebeek graph | $\{45,44,36,5;1,9,40,45\}$ |
| 486 | Soicher's 2nd graph | $\{56,45,16,1;1,8,45,56\}$ |
| 506 | Truncated Witt graph | $\{15,14,12;1,1,9\}$ |
| 512 | Coset graph of doubly truncated binary Golay code | $\{21,20,16;1,2,12\}$ |
| 552 | Taylor graph from $Co_3$ | $\{275,112,1;1,112,275\}$ |
| 552 | Taylor graph from $Co_3$ | $\{275,162,1;1,162,275\}$ |
| 672 | Moscow–Soicher graph | $\{110,81,12;1,18,90\}$ |
| 672 | $\mathrm{NU}_6(2)$ graph | $\{495,128;1,360\}$ |
| 729 | Coset graph of extended ternary Golay code | $\{24,22,20;1,2,12\}$ |
| 729 | Coset graph of shortened extended ternary Golay code | $\{22,20,18,2,1;1,2,9,20,22\}$ |
| 759 | Witt graph | $\{30,28,24;1,3,15\}$ |
| 990 | Ivanov–Ivanov–Faradjev graph | $\{7,6,4,4,4,1,1,1;1,1,1,2,4,4,6,7\}$ |
| 1024 | Coset graph of truncated binary Golay code | $\{22,21,20;1,2,6\}$ |
| 1024 | Distance-2 graph of coset graph of truncated binary Golay code | $\{231,160,6;1,48,210\}$ |
| 1288 | Complement of the Dodecad graph | $\{495,288;1,180\}$ |
| 1288 | Dodecad graph | $\{792,315;1,504\}$ |
| 2048 | Coset graph of binary Golay code | $\{23,22,21;1,2,3\}$ |
| 2048 | Coset graph of the shortened binary Golay code | $\{22,21,20,3,2,1;1,2,3,20,21,22\}$ |
| 2048 | Distance-2 graph of coset graph of binary Golay code | $\{253,210,3;1,30,231\}$ |
| 2048 | Double coset graph of truncated binary Golay code | $\{22,21,20,16,6,2,1;1,2,6,16,20,21,22\}$ |
| 2048 | $2^{11}.\mathrm{M}_{24}$ graph on 2048 vertices with valency 276 | $\{276,231;1,36\}$ |
| 2048 | $2^{11}.\mathrm{M}_{24}$ graph on 2048 vertices with valency 759 | $\{759,448;1,264\}$ |
| 2048 | $2^{11}.\mathrm{M}_{24}$ graph on 2048 vertices with valency 1288 | $\{1288,495;1,840\}$ |
| 4096 | Double coset graph of binary Golay code | $\{23,22,21,20,3,2,1;1,2,3,20,21,22,23\}$ |