Prime p₀= 1272466300494827687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1272465378886296457	0 10 16 22 36 64 70 106 150 186 192 220 234 240 246 256	-921608531230
SPT(16)	1272465604824894869	0 12 68 110 114 158 182 198 224 240 264 308 312 354 410 422	-695669932818
STPT(10)	1272466004009693369	0 2 30 32 60 62 90 92 120 122	-296485134318
SPT(16)	1272466210756525339	0 48 60 100 120 142 190 198 454 462 510 532 552 592 604 652	-89738302348
SPT(16)	1272466239013411721	0 12 56 198 230 300 318 336 362 380 398 468 500 642 686 698	-61481415966
STPT(10)	1272466266209547551	0 2 6 8 18 20 30 32 36 38	-34285280136
STPT(10)	1272466401171301949	0 2 18 20 30 32 42 44 60 62	100676474262
SPT(16)	1272466444703203951	0 10 78 138 172 180 222 246 262 286 328 336 370 430 498 508	144208376264
SPT(16)	1272466696418538217	0 6 16 72 76 112 286 310 312 336 510 546 550 606 616 622	395923710530
SPT(16)	1272466837222388257	0 6 22 30 76 90 112 142 204 234 256 270 316 324 340 346	536727560570
TPT(14)	1272466849658829761	0 2 96 98 126 128 156 158 180 182 186 188 228 230	549164002074