Prime p₀= 2340702735068257907 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2340701486266710839	0 2 30 32 108 110 138 140 150 152 228 230 240 242	-1248801547068
SPT(16)	2340701624822231287	0 22 30 42 52 60 102 126 130 154 196 204 214 226 234 256	-1110246026620
STPT(10)	2340701662875274337	0 2 60 62 72 74 84 86 144 146	-1072192983570
TPT(14)	2340701933156865167	0 2 30 32 42 44 114 116 294 296 372 374 420 422	-801911392740
TPT(14)	2340702297257679989	0 2 102 104 168 170 252 254 408 410 462 464 468 470	-437810577918
STPT(10)	2340702690630142997	0 2 30 32 72 74 114 116 144 146	-44438114910
STPT(10)	2340703134334147949	0 2 42 44 60 62 78 80 120 122	399265890042
SPT(16)	2340703204306096213	0 6 106 108 114 148 150 178 216 244 246 280 286 288 388 394	469237838306
SPT(18)	2340703207032039257	0 6 24 36 92 102 104 150 206 210 266 312 314 324 380 392 410 416	471963781350
STPT(10)	2340703439777037659	0 2 42 44 60 62 78 80 120 122	704708779752
SPT(16)	2340703858009173439	0 12 48 138 178 198 220 222 280 282 304 324 364 454 490 502	1122940915532