Prime p₀= 2625861737441555297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Coleslaw
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2625860782238426483	0 36 38 78 84 86 90 126 128 164 168 170 176 216 218 254	-955203128814
TPT(14)	2625861032674652621	0 2 36 38 78 80 186 188 288 290 450 452 468 470	-704766902676
SPT(16)	2625861096965021479	0 18 28 70 82 102 148 204 208 264 310 330 342 384 394 412	-640476533818
SPT(16)	2625861168248853047	0 14 42 140 192 200 206 210 326 330 336 344 396 494 522 536	-569192702250
STPT(10)	2625861219788155619	0 2 48 50 90 92 132 134 180 182	-517653399678
STPT(10)	2625861417386661149	0 2 48 50 90 92 132 134 180 182	-320054894148
SPT(16)	2625861944204943403	0 36 58 64 66 70 78 100 114 136 144 148 150 156 178 214	206763388106
SPT(16)	2625862928584280131	0 42 102 138 148 162 172 246 262 336 346 360 370 406 466 508	1191142724834
STPT(10)	2625863011692576077	0 2 42 44 102 104 162 164 204 206	1274251020780
STPT(10)	2625863107801113149	0 2 12 14 30 32 48 50 60 62	1370359557852
SPT(16)	2625863184613692433	0 16 46 64 126 154 156 210 244 298 300 328 390 408 438 454	1447172137136