Prime p₀= 1951931835634540169 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: Orange Kid
db: batch=80, k=12, 2 10 2 4 2 22

SPT(16)	1951930421414310109	0 22 34 78 138 148 180 204 208 232 264 274 334 378 390 412	-1414220230060
SPT(16)	1951930612169559547	0 4 10 16 60 64 102 114 142 154 192 196 240 246 252 256	-1223464980622
TPT(14)	1951930656838775027	0 2 42 44 132 134 162 164 204 206 372 374 384 386	-1178795765142
SPT(16)	1951930659311482979	0 8 20 38 78 84 108 122 180 194 218 224 264 282 294 302	-1176323057190
SPT(16)	1951931178926408443	0 30 70 88 154 180 184 208 210 234 238 264 330 348 388 418	-656708131726
STPT(10)	1951931217073947227	0 2 30 32 42 44 54 56 84 86	-618560592942
STPT(10)	1951931939736061559	0 2 48 50 90 92 132 134 180 182	104101521390
SPT(16)	1951932552718026539	0 12 24 42 68 114 134 140 162 168 188 234 260 278 290 302	717083486370
STPT(10)	1951932660046217879	0 2 30 32 60 62 90 92 120 122	824411677710
STPT(10)	1951932830617916351	0 2 6 8 18 20 30 32 36 38	994983376182
SPT(18)	1951933056706180363	0 36 48 54 78 124 168 208 264 280 336 376 420 466 490 496 508 544	1221071640194