Prime p₀= 2315757926713976621 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2315756867233916471	0 2 30 32 78 80 126 128 156 158	-1059480060150
SPT(16)	2315756929502914201	0 12 28 36 42 90 106 150 178 222 238 286 292 300 316 328	-997211062420
SPT(18)	2315757035763468127	0 36 90 106 112 154 210 244 276 340 372 406 462 504 510 526 580 616	-890950508494
STPT(10)	2315757049437339197	0 2 30 32 42 44 54 56 84 86	-877276637424
STPT(10)	2315757292019985629	0 2 12 14 90 92 168 170 180 182	-634693990992
SPT(16)	2315757785071375993	0 10 18 36 40 46 60 76 138 154 168 174 178 196 204 214	-141642600628
TPT(14)	2315757943631094581	0 2 48 50 150 152 216 218 306 308 378 380 420 422	16917117960
SPT(16)	2315758172647200439	0 82 138 160 228 240 250 270 322 342 352 364 432 454 510 592	245933223818
STPT(10)	2315758246530225797	0 2 24 26 42 44 60 62 84 86	319816249176
SPT(16)	2315758996220877913	0 18 24 60 84 94 118 136 168 186 210 220 244 280 286 304	1069506901292
SPT(16)	2315759786459095087	0 16 34 52 82 90 112 132 244 264 286 294 324 342 360 376	1859745118466