Prime p₀= 2312111572182961181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: vinn@[CNT]
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2312109308519300809	0 52 82 150 178 184 192 252 280 340 348 354 382 450 480 532	-2263663660372
STPT(10)	2312109725153805131	0 2 36 38 78 80 120 122 156 158	-1847029156050
SPT(16)	2312110105419319493	0 56 84 96 110 116 140 144 320 324 348 354 368 380 408 464	-1466763641688
STPT(10)	2312110319290521707	0 2 24 26 42 44 60 62 84 86	-1252892439474
TPT(14)	2312110376975224037	0 2 90 92 120 122 144 146 210 212 252 254 312 314	-1195207737144
SPT(16)	2312111251622423959	0 4 28 30 52 70 88 112 180 204 222 240 262 264 288 292	-320560537222
SPT(16)	2312111986684817731	0 46 52 60 72 100 138 166 282 310 348 376 388 396 402 448	414501856550
SPT(16)	2312112253765587401	0 30 32 36 60 98 108 170 198 260 270 308 332 336 338 368	681582626220
SPT(16)	2312112362854870963	0 6 10 84 100 136 156 160 270 274 294 330 346 420 424 430	790671909782
STPT(10)	2312112367753343999	0 2 18 20 30 32 42 44 60 62	795570382818
SPT(16)	2312112447018582869	0 12 42 44 90 104 140 152 192 204 240 254 300 302 332 344	874835621688