Prime p₀= 1083425657663709077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: stoneageman
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1083424360262360449	0 48 60 64 72 78 90 100 102 112 124 130 138 142 154 202	-1297401348628
STPT(10)	1083424432646133197	0 2 42 44 72 74 102 104 144 146	-1225017575880
SPT(16)	1083424468758564419	0 2 14 50 62 92 102 104 198 200 210 240 252 288 300 302	-1188905144658
SPT(16)	1083424752887975021	0 6 12 30 102 182 188 242 336 390 396 476 548 566 572 578	-904775734056
SPT(16)	1083425106908529877	0 30 34 42 72 100 120 130 144 154 174 202 232 240 244 274	-550755179200
SPT(16)	1083425142429728117	0 24 42 54 56 104 120 140 186 206 222 270 272 284 302 326	-515233980960
STPT(10)	1083426033117740831	0 2 36 38 78 80 120 122 156 158	375454031754
STPT(10)	1083426327826594637	0 2 12 14 42 44 72 74 84 86	670162885560
SPT(16)	1083426369792773323	0 28 48 70 160 210 214 226 258 270 274 324 414 436 456 484	712129064246
SPT(16)	1083426405807259193	0 56 78 110 114 128 144 170 234 260 276 290 294 326 348 404	748143550116
SPT(16)	1083426516536360747	0 44 114 132 150 164 204 230 234 260 300 314 332 350 420 464	858872651670