Prime p₀= 2971796842830635879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2971794450081985457	0 14 42 66 74 80 122 140 216 234 276 282 290 314 342 356	-2392748650422
STPT(10)	2971795124601293687	0 2 12 14 72 74 132 134 144 146	-1718229342192
SPT(16)	2971795818762215317	0 12 36 60 82 120 192 292 300 400 472 510 532 556 580 592	-1024068420562
SPT(16)	2971796394982050617	0 2 14 42 86 92 156 204 212 260 324 330 374 402 414 416	-447848585262
STPT(10)	2971796415856192151	0 2 78 80 108 110 138 140 216 218	-426974443728
SPT(16)	2971796526918672667	0 144 162 172 186 196 214 246 250 282 300 310 324 334 352 496	-315911963212
SPT(16)	2971796943258813883	0 10 24 66 90 120 156 174 226 244 280 310 334 376 390 400	100428178004
SPT(13)	2971796980051636787	0 12 30 42 120 186 246 306 372 450 462 480 492	137221000908
STPT(10)	2971797259833112829	0 2 18 20 30 32 42 44 60 62	417002476950
SPT(18)	2971797386053030687	0 10 42 124 172 214 250 300 382 462 544 594 630 672 720 802 834 844	543222394808
SPT(16)	2971797431432958883	0 30 34 46 58 76 84 88 96 100 108 126 138 150 154 184	588602323004