Prime p₀= 3091252122759897557 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: herby44
db: batch=83, k=10, 2 22 2 16 2

SPT(16)	3091250410610923331	0 36 56 72 102 110 128 138 140 150 168 176 206 222 242 278	-1712148974226
STPT(10)	3091250583323261927	0 2 12 14 42 44 72 74 84 86	-1539436635630
SPT(16)	3091251131225437003	0 88 178 196 246 264 300 304 330 334 370 388 438 456 546 634	-991534460554
SPT(16)	3091251495257973809	0 32 102 108 150 182 198 240 242 284 300 332 374 380 450 482	-627501923748
STPT(10)	3091251544654187219	0 2 42 44 90 92 138 140 180 182	-578105710338
SPT(18)	3091251949135883371	0 28 46 66 72 112 142 180 226 252 298 336 366 406 412 432 450 478	-173624014186
STPT(10)	3091252503041415257	0 2 30 32 42 44 54 56 84 86	380281517700
SPT(16)	3091253080700268997	0 42 112 142 144 184 190 214 270 294 300 340 342 372 442 484	957940371440
SPT(16)	3091253358817421401	0 28 36 52 66 102 120 192 196 268 286 322 336 352 360 388	1236057523844
TPT(14)	3091253703725065001	0 2 6 8 60 62 138 140 156 158 168 170 210 212	1580965167444
SPT(16)	3091254158502292819	0 12 22 28 70 82 84 142 150 208 210 222 264 270 280 292	2035742395262