Prime p₀= 2379075371987632007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: Coleslaw
db: batch=81, k=10, 2 82 2 46 2

SPT(16)	2379074613187207087	0 22 66 144 220 234 250 256 270 276 292 306 382 460 504 526	-758800424920
SPT(16)	2379074656752223483	0 54 60 78 124 130 138 154 174 190 198 204 250 268 274 328	-715235408524
STPT(10)	2379074809358186831	0 2 66 68 108 110 150 152 216 218	-562629445176
STPT(10)	2379074973104074121	0 2 30 32 60 62 90 92 120 122	-398883557886
STPT(10)	2379075081480558917	0 2 30 32 42 44 54 56 84 86	-290507073090
SPT(16)	2379075299541737677	0 24 66 70 90 100 114 150 286 322 336 346 366 370 412 436	-72445894330
SPT(16)	2379075766000118531	0 2 36 66 80 92 110 126 176 192 210 222 236 266 300 302	394012486524
STPT(10)	2379075777832880207	0 2 54 56 72 74 90 92 144 146	405845248200
SPT(16)	2379076018475784371	0 8 86 98 150 186 200 206 210 216 230 266 318 330 408 416	646488152364
SPT(16)	2379076050453900829	0 10 82 114 154 180 192 280 432 520 532 558 598 630 702 712	678466268822
STPT(10)	2379076165378004537	0 2 30 32 42 44 54 56 84 86	793390372530