Prime p₀= 3715471892168247317 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: SEARCHER
db: batch=84, k=10, 2 10 2 28 2

STPT(10)	3715470333929368307	0 2 42 44 72 74 102 104 144 146	-1558238879010
STPT(10)	3715470851477088017	0 2 30 32 42 44 54 56 84 86	-1040691159300
TPT(14)	3715471018629449477	0 2 12 14 210 212 264 266 294 296 360 362 402 404	-873538797840
SPT(18)	3715471025273579639	0 18 44 78 152 158 182 200 210 272 282 300 324 330 404 438 464 482	-866894667678
STPT(10)	3715471188764941421	0 2 6 8 48 50 90 92 96 98	-703403305896
STPT(10)	3715471570706806247	0 2 30 32 42 44 54 56 84 86	-321461441070
STPT(10)	3715471981973489201	0 2 36 38 78 80 120 122 156 158	89805241884
SPT(16)	3715472285668029091	0 46 66 88 118 130 148 168 220 240 258 270 300 322 342 388	393499781774
SPT(16)	3715472613428364947	0 6 14 26 56 104 120 132 224 236 252 300 330 342 350 356	721260117630
SPT(18)	3715472653719546751	0 28 48 72 106 150 160 168 180 388 400 408 418 462 496 520 540 568	761551299434
SPT(16)	3715473231580357937	0 30 72 84 86 104 140 152 174 186 222 240 242 254 296 326	1339412110620