Prime p₀= 3031909550010012167 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: Alnitak2019
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3031908595517629519	0 18 30 82 90 102 112 130 180 198 208 220 228 280 292 310	-954492382648
SPT(16)	3031908827471604181	0 6 58 112 138 148 166 202 246 282 300 310 336 390 442 448	-722538407986
STPT(10)	3031908842405607737	0 2 42 44 72 74 102 104 144 146	-707604404430
SPT(16)	3031908859542597721	0 22 46 78 96 166 172 208 420 456 462 532 550 582 606 628	-690467414446
SPT(16)	3031909215913060361	0 20 30 36 62 86 162 186 212 236 312 336 362 368 378 398	-334096951806
TPT(14)	3031909244566543727	0 2 72 74 84 86 114 116 180 182 222 224 330 332	-305443468440
SPT(16)	3031910183146172161	0 12 16 36 60 78 88 100 108 120 130 148 172 192 196 208	633136159994
STPT(10)	3031910268211461269	0 2 42 44 90 92 138 140 180 182	718201449102
SPT(16)	3031910567782578409	0 28 48 160 180 214 288 300 322 334 408 442 462 574 594 622	1017772566242
STPT(10)	3031910810356366187	0 2 12 14 42 44 72 74 84 86	1260346354020
SPT(16)	3031911136337994091	0 16 18 30 46 112 136 216 262 342 366 432 448 460 462 478	1586327981924