Prime p₀= 2341488268457168627 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

SPT(16)	2341487468416258901	0 32 62 68 72 90 242 270 380 408 560 578 582 588 618 650	-800040909726
SPT(13)	2341487470651328551	0 12 18 48 60 168 180 192 300 312 342 348 360	-797805840076
SPT(16)	2341487565082370371	0 10 42 90 108 112 156 198 340 382 426 430 448 496 528 538	-703374798256
SPT(16)	2341488042203894161	0 6 36 102 112 132 138 156 172 190 196 216 226 292 322 328	-226253274466
STPT(10)	2341488152515641917	0 2 12 14 72 74 132 134 144 146	-115941526710
STPT(10)	2341488182264402627	0 2 30 32 42 44 54 56 84 86	-86192766000
STPT(10)	2341488912670524047	0 2 54 56 72 74 90 92 144 146	644213355420
SPT(16)	2341488955418933051	0 12 36 72 78 90 138 180 198 240 288 300 306 342 366 378	686961764424
TPT(14)	2341489045393597439	0 2 72 74 138 140 198 200 270 272 300 302 462 464	776936428812
SPT(16)	2341489198341760541	0 12 42 72 92 156 158 182 216 240 242 306 326 356 386 398	929884591914
SPT(16)	2341489430484059159	0 14 38 44 68 72 80 134 168 222 230 234 258 264 288 302	1162026890532