Prime p₀= 2312110319290521707 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: vinn@[CNT]
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2312108622129997637	0 14 24 56 66 72 86 90 266 270 284 290 300 332 342 356	-1697160524070
SPT(16)	2312108734606164551	0 92 98 122 158 212 248 276 302 330 366 420 456 480 486 578	-1584684357156
SPT(13)	2312108950066691257	0 54 60 96 126 174 180 186 234 264 300 306 360	-1369223830450
SPT(16)	2312109308519300809	0 52 82 150 178 184 192 252 280 340 348 354 382 450 480 532	-1010771220898
STPT(10)	2312109725153805131	0 2 36 38 78 80 120 122 156 158	-594136716576
SPT(16)	2312110105419319493	0 56 84 96 110 116 140 144 320 324 348 354 368 380 408 464	-213871202214
TPT(14)	2312110376975224037	0 2 90 92 120 122 144 146 210 212 252 254 312 314	57684702330
SPT(16)	2312111251622423959	0 4 28 30 52 70 88 112 180 204 222 240 262 264 288 292	932331902252
STPT(10)	2312111572182961181	0 2 6 8 48 50 90 92 96 98	1252892439474
SPT(16)	2312111986684817731	0 46 52 60 72 100 138 166 282 310 348 376 388 396 402 448	1667394296024
SPT(16)	2312112253765587401	0 30 32 36 60 98 108 170 198 260 270 308 332 336 338 368	1934475065694