Prime p₀= 2313041704790430659 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: WTBroughton
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2313040491438773639	0 2 48 50 90 92 132 134 180 182	-1213351657020
SPT(16)	2313040926479452277	0 6 80 132 146 176 210 236 246 272 306 336 350 402 476 482	-778310978382
SPT(16)	2313040994833168363	0 10 36 70 96 106 154 166 168 180 228 238 264 298 324 334	-709957262296
SPT(16)	2313041175524786561	0 2 72 96 110 152 186 192 200 206 240 282 296 320 390 392	-529265644098
TPT(14)	2313041567191681979	0 2 42 44 72 74 102 104 168 170 198 200 228 230	-137598748680
STPT(12)	2313041567191682021	0 2 30 32 60 62 126 128 156 158 186 188	-137598748638
SPT(16)	2313041745462575609	0 42 62 104 108 138 150 152 210 212 224 254 258 300 320 362	40672144950
SPT(16)	2313042144739012493	0 36 48 50 74 120 126 134 210 218 224 270 294 296 308 344	439948581834
SPT(16)	2313042622488283787	0 14 24 26 36 56 66 72 134 140 150 170 180 182 192 206	917697853128
SPT(16)	2313042855635619463	0 46 88 130 136 154 168 178 276 286 300 318 324 366 408 454	1150845188804
SPT(16)	2313043016718784997	0 44 62 66 96 122 132 182 204 254 264 290 320 324 342 386	1311928354338