Prime p₀= 2357375339495823947 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2357373496412034299	0 2 42 44 90 92 138 140 180 182	-1843083789648
STPT(12)	2357373614852418089	0 2 12 14 30 32 72 74 90 92 102 104	-1724643405858
STPT(10)	2357373786887777639	0 2 42 44 60 62 78 80 120 122	-1552608046308
SPT(16)	2357374560115841417	0 2 54 60 74 110 120 152 162 194 204 240 254 260 312 314	-779379982530
SPT(16)	2357375278026084331	0 12 16 22 28 60 70 120 148 198 208 240 246 252 256 268	-61469739616
SPT(16)	2357375326524976921	0 30 36 76 118 148 216 286 312 382 450 480 522 562 568 598	-12970847026
SPT(16)	2357375354519575909	0 12 18 60 100 102 192 198 304 310 400 402 442 484 490 502	15023751962
SPT(16)	2357375550590406977	0 2 50 54 66 80 86 92 114 120 126 140 152 156 204 206	211094583030
SPT(16)	2357375851818316997	0 44 54 114 140 152 174 194 210 230 252 264 290 350 360 404	512322493050
SPT(16)	2357376048670655767	0 6 10 42 60 72 100 132 154 186 214 226 244 276 280 286	709174831820
SPT(16)	2357376308668248979	0 18 52 130 132 154 174 192 220 238 258 280 282 360 394 412	969172425032