Prime p₀= 2356079480743429559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Xenon
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2356076684873631791	0 2 30 32 78 80 126 128 156 158	-2795869797768
SPT(16)	2356077052263251341	0 6 36 40 66 78 82 100 258 276 280 292 318 322 352 358	-2428480178218
SPT(16)	2356077587843308799	0 8 38 114 144 224 260 338 360 438 474 554 584 660 690 698	-1892900120760
STPT(10)	2356078310239518479	0 2 18 20 30 32 42 44 60 62	-1170503911080
SPT(16)	2356078320397577981	0 6 18 20 56 72 78 86 162 170 176 192 228 230 242 248	-1160345851578
STPT(10)	2356078598145823907	0 2 30 32 72 74 114 116 144 146	-882597605652
TPT(14)	2356079602143660137	0 2 24 26 120 122 132 134 180 182 192 194 222 224	121400230578
SPT(16)	2356080100901023163	0 14 24 44 80 98 128 144 254 270 300 318 354 374 384 398	620157593604
TPT(14)	2356080190572195887	0 2 72 74 90 92 114 116 120 122 294 296 324 326	709828766328
SPT(16)	2356080222802644167	0 12 14 20 114 170 174 194 240 260 264 320 414 420 422 434	742059214608
STPT(10)	2356080259909955351	0 2 36 38 108 110 180 182 216 218	779166525792