Prime p₀= 2493305509708268537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Penguin
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2493303837920893607	0 2 30 32 42 44 54 56 84 86	-1671787374930
TPT(14)	2493304183713609527	0 2 30 32 204 206 252 254 282 284 354 356 384 386	-1325994659010
SPT(16)	2493304586993877389	0 14 20 80 90 110 120 132 140 152 162 182 192 252 258 272	-922714391148
SPT(16)	2493304711795082651	0 6 12 32 42 68 78 86 102 110 120 146 156 176 182 188	-797913185886
STPT(10)	2493305098508215049	0 2 42 44 60 62 78 80 120 122	-411200053488
TPT(14)	2493305405653177979	0 2 12 14 48 50 78 80 138 140 162 164 210 212	-104055090558
STPT(10)	2493305706124503239	0 2 12 14 30 32 48 50 60 62	196416234702
SPT(16)	2493306378547945841	0 48 66 72 122 150 258 266 282 290 398 426 476 482 500 548	868839677304
STPT(10)	2493306718022074781	0 2 30 32 78 80 126 128 156 158	1208313806244
SPT(16)	2493306853014045307	0 54 82 84 100 120 142 150 154 162 184 204 220 222 250 304	1343305776770
TPT(14)	2493307038168412769	0 2 18 20 78 80 90 92 120 122 240 242 270 272	1528460144232