Prime p₀= 1270488902324858759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1270487373087751061	0 48 50 60 80 90 146 158 168 180 236 246 266 276 278 326	-1529237107698
STPT(10)	1270487972628155291	0 2 90 92 108 110 126 128 216 218	-929696703468
STPT(10)	1270488130330526207	0 2 42 44 72 74 102 104 144 146	-771994332552
STPT(10)	1270488274123053407	0 2 42 44 102 104 162 164 204 206	-628201805352
TPT(14)	1270488417261875261	0 2 30 32 90 92 156 158 216 218 240 242 288 290	-485062983498
SPT(16)	1270488488134201087	0 24 34 64 94 100 124 162 322 360 384 390 420 450 460 484	-414190657672
SPT(16)	1270489162476074221	0 10 18 22 30 36 76 88 90 102 142 148 156 160 168 178	260151215462
SPT(16)	1270489244085662771	0 8 60 66 80 150 170 176 192 198 218 288 302 308 360 368	341760804012
STPT(10)	1270489445949659951	0 2 30 32 138 140 246 248 276 278	543624801192
SPT(16)	1270490092440784679	0 14 50 78 210 230 308 314 318 324 402 422 554 582 618 632	1190115925920
SPT(16)	1270490400573173671	0 16 22 30 78 90 126 168 190 232 268 280 328 336 342 358	1498248314912