| Graph | No. of vertices | Diameter |
| $\text{Symplectic 3-cover of }K_{17}$ | $51$ | $3$ |
| $\text{Flag graph of }PG(2,3)$ | $52$ | $3$ |
| $\text{Paley graph }P_{53}$ | $53$ | $2$ |
| $\text{Incidence graph of }\mathrm{STD}_3[9;3]$ | $54$ | $4$ |
| $\text{Gosset graph}$ | $56$ | $3$ |
| $\text{Distance-2 graph of Gosset graph}$ | $56$ | $3$ |
| $\text{Gewirtz graph}$ | $56$ | $2$ |
| $J(8,3)$ | $56$ | $3$ |
| $\text{Perkel graph}$ | $57$ | $3$ |
| $\text{Symplectic 5-cover of }K_{12}$ | $60$ | $3$ |
| $\text{Paley graph }P_{61}$ | $61$ | $2$ |
| $\text{Incidence graph of }PG(2,5)$ | $62$ | $3$ |
| $\text{Incidence graph of }PG(4,2)$ | $62$ | $3$ |
| $\text{Point graphs of }GH(2,2) \text{ and its dual}$ | $63$ | $3$ |
| $\text{Symplectic 7-cover of }K_9$ | $63$ | $3$ |
| $\text{Conway-Smith graph}$ | $63$ | $4$ |
| $\text{Incidence graph of }\mathrm{STD}_2[8;4]$ | $64$ | $4$ |
| $\text{6-cube }Q_6 \cong H(6,2)$ | $64$ | $6$ |
| $H(3,4)$ | $64$ | $3$ |
| $H(2,8)$ | $64$ | $2$ |
| $\text{Folded 7-cube}$ | $64$ | $3$ |
| $\text{Halved 7-cube}$ | $64$ | $3$ |
| $\text{Hall graph}$ | $65$ | $3$ |
| $\text{Doro graph}$ | $68$ | $3$ |
| $J(8,4)$ | $70$ | $4$ |
| $\text{Doubled Odd graph }D(O_4)$ | $70$ | $7$ |
| $\text{Suetake graph}$ | $72$ | $4$ |
| $\text{Paley graph }P_{73}$ | $73$ | $2$ |
| $M_{22} \text{ graph}$ | $77$ | $2$ |
| $\text{Incidence graph of }GQ(3,3)$ | $80$ | $4$ |
| $\text{Incidence graph of }PG(3,3)$ | $80$ | $3$ |
| $\text{Paley graph }P_{81}$ | $81$ | $2$ |
| $\text{Brouwer-Haemers graph}$ | $81$ | $2$ |
| $H(2,9)$ | $81$ | $2$ |
| $H(4,3)$ | $81$ | $4$ |
| $J(9,3)$ | $84$ | $3$ |
| $\text{Symplectic 5-cover of }K_{17}$ | $85$ | $3$ |
| $\text{Paley graph }P_{89}$ | $89$ | $2$ |
| $\text{Foster graph}$ | $90$ | $8$ |
| $\text{Paley graph }P_{97}$ | $97$ | $2$ |
| $\text{Incidence graph of }AG(2,7) \text{ minus a parallel class}$ | $98$ | $4$ |
| $H(2,10)$ | $100$ | $2$ |
| $\text{Higman-Sims graph}$ | $100$ | $2$ |
| $\text{Hall-Janko graph}$ | $100$ | $2$ |
| $\text{Cocliques in Hoffman-Singleton graph}$ | $100$ | $4$ |
| $\text{Doubled Hoffman-Singleton graph}$ | $100$ | $5$ |