Prime p₀= 2678324348487420317 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: Asgard2022
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2678323230465281207	0 2 12 14 42 44 72 74 84 86	-1118022139110
SPT(16)	2678323470893975477	0 2 84 86 110 122 236 282 374 420 534 546 570 572 654 656	-877593444840
SPT(16)	2678323651422928087	0 22 24 40 60 64 112 124 132 144 192 196 216 232 234 256	-697064492230
SPT(16)	2678324014071937199	0 2 14 30 44 68 140 248 264 372 444 468 482 498 510 512	-334415483118
STPT(10)	2678324057454372329	0 2 30 32 60 62 90 92 120 122	-291033047988
SPT(16)	2678324200417020479	0 20 32 48 98 108 132 162 230 260 284 294 344 360 372 392	-148070399838
SPT(16)	2678324381486266523	0 8 20 50 170 174 204 216 248 260 290 294 414 444 456 464	32998846206
SPT(16)	2678325320893647991	0 10 46 60 82 100 112 118 150 156 168 186 208 222 258 268	972406227674
SPT(16)	2678325545471806991	0 26 36 50 60 96 98 116 120 138 140 176 186 200 210 236	1196984386674
SPT(16)	2678326212961041271	0 6 48 82 100 142 220 226 252 258 336 378 396 430 472 478	1864473620954
SPT(16)	2678326359238507723	0 58 70 96 168 184 196 198 256 258 270 286 358 384 396 454	2010751087406