Prime p₀= 2090591946222593069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: CoolAtchOk
db: batch=80, k=12, 2 10 2 4 2 22

SPT(16)	2090590934617978591	0 16 28 42 96 100 166 168 220 222 288 292 346 360 372 388	-1011604614478
SPT(16)	2090590973244786521	0 78 116 138 150 168 176 192 236 252 260 278 290 312 350 428	-972977806548
STPT(12)	2090591143632300689	0 2 42 44 72 74 90 92 120 122 162 164	-802590292380
STPT(10)	2090591367066950981	0 2 36 38 78 80 120 122 156 158	-579155642088
STPT(10)	2090591394970236617	0 2 30 32 42 44 54 56 84 86	-551252356452
SPT(13)	2090591508410826847	0 30 60 90 126 132 156 180 186 222 252 282 312	-437811766222
SPT(16)	2090592043594544471	0 20 60 66 98 146 248 258 260 270 372 420 452 458 498 518	97371951402
STPT(10)	2090592115523084387	0 2 30 32 42 44 54 56 84 86	169300491318
SPT(16)	2090592288876899089	0 10 28 102 112 142 150 172 210 232 240 270 280 354 372 382	342654306020
SPT(16)	2090592394917698291	0 20 26 60 72 90 152 156 452 456 518 536 548 582 588 608	448695105222
SPT(16)	2090593125602021087	0 50 56 60 102 126 132 176 186 230 236 260 302 306 312 362	1179379428018