| Graph | No. of vertices | Diameter |
| $\text{Unitary graph from P}\Gamma\text{U}(3,4)$ | $208$ | $3$ |
| $J(10,4)$ | $210$ | $4$ |
| $H(3,6)$ | $216$ | $3$ |
| $\text{Cameron graph}$ | $231$ | $2$ |
| $H(5,3)$ | $243$ | $5$ |
| $\text{Berlekamp-van Lint-Seidel graph}$ | $243$ | $2$ |
| $\text{Delsarte graph}$ | $243$ | $2$ |
| $\text{Coset graph of shortened ternary Golay code}$ | $243$ | $4$ |
| $J(10,5)$ | $252$ | $5$ |
| $\text{Doubled Odd graph }D(O_5)$ | $252$ | $9$ |
| $\text{8-cube }Q_8 \cong H(8,2)$ | $256$ | $8$ |
| $\text{Folded 9-cube}$ | $256$ | $4$ |
| $\text{Halved 9-cube}$ | $256$ | $4$ |
| $H(4,4)$ | $256$ | $4$ |
| $\text{Livingstone graph}$ | $266$ | $4$ |
| $\text{Incidence graph of }PG(2,11)$ | $266$ | $3$ |
| $\text{McLaughlin graph}$ | $275$ | $2$ |
| $\text{Unitals in }PG(2,4)$ | $280$ | $4$ |
| $\text{Leonard graph}$ | $288$ | $4$ |
| $\text{Incidence graphs of Leonard semibiplanes}$ | $288$ | $3$ |
| $\text{Hall--Janko/Cohen--Tits near octagon}$ | $315$ | $4$ |
| $\text{Soicher's } 3^{\text{rd}}\text{ graph}$ | $315$ | $4$ |
| $\text{Doubly truncated Witt graph}$ | $330$ | $4$ |
| $H(3,7)$ | $343$ | $3$ |
| $\text{Taylor graphs from Higman-Sims group (2 graphs)}$ | $352$ | $3$ |
| $\text{Point graph of }GH(3,3)$ | $364$ | $3$ |
| $\text{Antipodal 3-cover of Zara graph }$ | $378$ | $4$ |
| $O_7(3) \text{ graph}$ | $378$ | $2$ |
| $\mathrm{G}_2(4)\text{ graph}$ | $416$ | $2$ |
| $\text{Odd graph }O_6$ | $462$ | $5$ |
| $\text{Koolen-Riebeek graph}$ | $486$ | $4$ |
| $\text{Soicher's } 2^{\text{nd}}\text{ graph}$ | $486$ | $4$ |
| $\text{Truncated Witt graph}$ | $506$ | $3$ |
| $\text{Coset graph of doubly truncated binary Golay code}$ | $512$ | $3$ |
| $\text{9-cube }Q_9 \cong H(9,2)$ | $512$ | $9$ |
| $\text{Folded 10-cube}$ | $512$ | $5$ |
| $\text{Halved 10-cube}$ | $512$ | $5$ |
| $\text{Unitary graph from P}\Gamma\text{U}(3,5)$ | $525$ | $3$ |
| $\text{Taylor graphs from }Co_3 \text{(2 graphs)}$ | $552$ | $3$ |
| $\text{Grassmann graph }J_2(6,2)$ | $651$ | $2$ |
| $H(4,5)$ | $625$ | $4$ |
| $\text{Distance-2 graph of Moscow-Soicher graph}$ | $672$ | $2$ |
| $\text{Moscow-Soicher graph}$ | $672$ | $3$ |
| $U_6(2)$ | $672$ | $2$ |
| $\text{Incidence graph of }GH(3,3)$ | $728$ | $6$ |
| $\text{Coset graph of extended ternary Golay code}$ | $729$ | $3$ |
| $\text{Coset graph of shortened extended ternary Golay code}$ | $729$ | $5$ |
| $\text{Games graph}$ | $729$ | $2$ |
| $\text{Witt graph}$ | $759$ | $3$ |
| $\text{Ivanov-Ivanov-Faradjev graph}$ | $990$ | $8$ |
| $\text{Coset graph of truncated binary Golay code}$ | $1024$ | $3$ |
| $\text{Distance-2 graph of coset graph of truncated binary Golay code}$ | $1024$ | $3$ |
| $\text{Shi-Krotov-Solé graph}$ | $1024$ | $3$ |
| $\text{10-cube }Q_{10} \cong H(10,2)$ | $1024$ | $10$ |
| $\text{Norton-Smith graph}$ | $1134$ | $4$ |
| $H(4,6)$ | $1296$ | $4$ |
| $\text{Meixner 2-cover of }U_6(2)$ | $1344$ | $4$ |
| $\text{Grassmann graph }J_2(6,3)$ | $1395$ | $3$ |
| $\text{Odd graph }O_7$ | $1416$ | $6$ |
| $\text{SRG(1600,351,94,72) from Tits group } \phantom{.}^2 F_4(2)'$ | $1600$ | $2$ |
| $\text{Ree-Tits Generalized Octagon, }GO(2,4)$ | $1755$ | $4$ |
| $\text{Suzuki graph}$ | $1782$ | $2$ |
| $\text{Meixner 4-cover of }U_6(2)$ | $2688$ | $4$ |
| $\text{Soicher's }1^{\text{st}} \text{ graph}$ | $5346$ | $4$ |