Prime p₀= 2131059279438494147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Marion1
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2131057877759583979	0 10 22 64 112 114 202 232 252 282 370 372 420 462 474 484	-1401678910168
SPT(16)	2131058011616942747	0 6 50 66 72 152 174 182 204 212 234 314 320 336 380 386	-1267821551400
STPT(10)	2131058191374701387	0 2 30 32 42 44 54 56 84 86	-1088063792760
SPT(16)	2131058349920320811	0 26 30 60 72 102 116 138 200 222 236 266 278 308 312 338	-929518173336
SPT(16)	2131058616148898791	0 10 66 90 112 136 150 166 222 238 252 276 298 322 378 388	-663289595356
STPT(10)	2131059221889637997	0 2 42 44 72 74 102 104 144 146	-57548856150
SPT(16)	2131059918470048179	0 48 52 78 82 102 172 174 208 210 280 300 304 330 334 382	639031554032
SPT(16)	2131059962544788777	0 80 102 140 144 150 152 194 222 264 266 272 276 314 336 416	683106294630
STPT(10)	2131060893261593729	0 2 18 20 60 62 102 104 120 122	1613823099582
SPT(16)	2131060952012358661	0 58 60 78 96 102 126 130 138 142 166 172 190 208 210 268	1672573864514
SPT(16)	2131061460912930431	0 48 98 146 176 246 282 320 408 446 482 552 582 630 680 728	2181474436284