Prime p₀= 2085699177703586519 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 92
Found by: Daniel
db: batch=80, k=12, 2 16 2 22 2 4

SPT(16)	2085698916339330407	0 14 26 56 140 152 156 174 212 230 234 246 330 360 372 386	-261364256112
SPT(16)	2085698959698191419	0 4 22 24 30 64 82 154 180 252 270 304 310 312 330 334	-218005395100
STPT(10)	2085698979468809099	0 2 48 50 90 92 132 134 180 182	-198234777420
SPT(16)	2085698990052933293	0 36 48 68 90 98 146 150 194 198 246 254 276 296 308 344	-187650653226
STPT(10)	2085699043065063869	0 2 132 134 210 212 288 290 420 422	-134638522650
STPT(10)	2085699127944893471	0 2 6 8 48 50 90 92 96 98	-49758693048
SPT(16)	2085699270121687217	0 12 32 110 140 162 194 200 204 210 242 264 294 372 392 404	92418100698
STPT(10)	2085699732880939001	0 2 30 32 78 80 126 128 156 158	555177352482
SPT(16)	2085699766722100541	0 6 18 36 78 90 96 116 162 182 188 200 242 260 272 278	589018514022
STPT(10)	2085700031501058569	0 2 18 20 60 62 102 104 120 122	853797472050
SPT(16)	2085700191414076877	0 24 44 80 126 156 180 212 234 266 290 320 366 402 422 446	1013710490358