Prime p₀= 2538217644636288257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2538216413933051219	0 2 18 20 30 32 42 44 60 62	-1230703237038
SPT(16)	2538216799724972581	0 12 48 52 76 96 120 130 168 178 202 222 246 250 286 298	-844911315676
SPT(16)	2538216957673869161	0 6 32 50 96 126 140 176 186 222 236 266 312 330 356 362	-686962419096
SPT(16)	2538217447184708717	0 30 44 80 96 182 192 212 264 284 294 380 396 432 446 476	-197451579540
SPT(16)	2538217499400041047	0 12 40 72 150 220 240 250 264 274 294 364 442 474 502 514	-145236247210
TPT(14)	2538217509977873609	0 2 18 20 30 32 42 44 90 92 132 134 228 230	-134658414648
SPT(16)	2538217954736675929	0 18 28 58 100 154 160 174 238 252 258 312 354 384 394 412	310100387672
SPT(16)	2538218086379777957	0 2 84 126 194 254 282 302 354 374 402 462 530 572 654 656	441743489700
SPT(16)	2538218406266198639	0 20 42 48 60 62 120 132 188 200 258 260 272 278 300 320	761629910382
SPT(16)	2538218535476703727	0 22 60 82 174 246 280 334 372 426 460 532 624 646 684 706	890840415470
STPT(10)	2538218582614335497	0 2 30 32 60 62 90 92 120 122	937978047240