Prime p₀= 2312112367753343999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: vinn@[CNT]
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2312110376975224037	0 2 90 92 120 122 144 146 210 212 252 254 312 314	-1990778119962
SPT(16)	2312111251622423959	0 4 28 30 52 70 88 112 180 204 222 240 262 264 288 292	-1116130920040
STPT(10)	2312111572182961181	0 2 6 8 48 50 90 92 96 98	-795570382818
SPT(16)	2312111986684817731	0 46 52 60 72 100 138 166 282 310 348 376 388 396 402 448	-381068526268
SPT(16)	2312112253765587401	0 30 32 36 60 98 108 170 198 260 270 308 332 336 338 368	-113987756598
SPT(16)	2312112362854870963	0 6 10 84 100 136 156 160 270 274 294 330 346 420 424 430	-4898473036
SPT(16)	2312112447018582869	0 12 42 44 90 104 140 152 192 204 240 254 300 302 332 344	79265238870
SPT(16)	2312112668373585347	0 2 26 32 74 84 102 114 182 194 212 222 264 270 294 296	300620241348
STPT(10)	2312112702384585167	0 2 60 62 72 74 84 86 144 146	334631241168
SPT(16)	2312112813998782211	0 18 50 92 96 132 182 186 212 216 266 302 306 348 380 398	446245438212
SPT(16)	2312112946730440937	0 56 74 84 102 116 132 174 182 224 240 254 272 282 300 356	578977096938