Prime p₀= 2880666709052359571 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 40 2 88 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 168 170 210 212 246 248
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: 248
Found by: Landjunge
db: batch=82, k=12, 2 34 2 40 2 88

STPT(10)	2880665792702703911	0 2 6 8 48 50 90 92 96 98	-916349655660
STPT(10)	2880666433543624091	0 2 36 38 78 80 120 122 156 158	-275508735480
SPT(16)	2880666495532438793	0 24 60 78 98 120 144 180 188 224 248 270 290 308 344 368	-213519920778
SPT(16)	2880666551694258263	0 14 48 54 74 98 146 186 188 228 276 300 320 326 360 374	-157358101308
SPT(16)	2880666600122854819	0 22 84 94 150 162 168 174 178 184 190 202 258 268 330 352	-108929504752
SPT(16)	2880666667642413457	0 12 16 70 82 120 132 150 166 184 196 234 246 300 304 316	-41409946114
STPT(10)	2880666811502426579	0 2 42 44 90 92 138 140 180 182	102450067008
STPT(10)	2880667116381132929	0 2 42 44 90 92 138 140 180 182	407328773358
TPT(14)	2880667195043790707	0 2 84 86 144 146 162 164 240 242 354 356 372 374	485991431136
STPT(10)	2880667547958471317	0 2 54 56 72 74 90 92 144 146	838906111746
SPT(16)	2880667932046336121	0 6 26 42 56 60 132 182 186 236 308 312 326 342 362 368	1222993976550