Prime p₀= 1831374286592002037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Paul
db: batch=79, k=10, 2 28 2 10 2

STPT(10)	1831373123499314009	0 2 18 20 30 32 42 44 60 62	-1163092688028
STPT(10)	1831373349520955291	0 2 6 8 18 20 30 32 36 38	-937071046746
STPT(10)	1831373355068887541	0 2 6 8 18 20 30 32 36 38	-931523114496
SPT(16)	1831373482614935299	0 10 60 82 112 132 148 172 210 234 250 270 300 322 372 382	-803977066738
STPT(10)	1831373823960973307	0 2 30 32 120 122 210 212 240 242	-462631028730
SPT(16)	1831373954766079463	0 26 50 80 138 186 218 236 258 276 308 356 414 444 468 494	-331825922574
SPT(16)	1831374299037971609	0 78 80 102 110 152 164 168 344 348 360 402 410 432 434 512	12445969572
SPT(16)	1831374538511608589	0 32 50 80 114 122 188 212 330 354 420 428 462 492 510 542	251919606552
SPT(16)	1831374555215446229	0 8 30 128 134 140 174 192 230 248 282 288 294 392 414 422	268623444192
SPT(16)	1831374707240261011	0 22 76 82 90 96 156 160 288 292 352 358 366 372 426 448	420648258974
STPT(10)	1831375111716521417	0 2 12 14 72 74 132 134 144 146	825124519380