Prime p₀= 1008104008216626731 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 76 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 168 170 210 212 258 260
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: 260
Found by: stoneageman
db: batch=76, k=12, 2 46 2 40 2 76

STPT(10)	1008103421910328019	0 2 12 14 90 92 168 170 180 182	-586306298712
SPT(16)	1008103441682555107	0 60 112 120 156 162 172 240 262 330 340 346 382 390 442 502	-566534071624
STPT(10)	1008103518767664437	0 2 30 32 42 44 54 56 84 86	-489448962294
SPT(16)	1008103527753324377	0 12 42 74 96 116 126 180 266 320 330 350 372 404 434 446	-480463302354
STPT(10)	1008103753282578761	0 2 6 8 48 50 90 92 96 98	-254934047970
SPT(16)	1008103960145220733	0 16 88 148 166 168 196 208 288 300 328 330 348 408 480 496	-48071405998
SPT(16)	1008104336880295139	0 18 20 30 90 140 144 158 174 188 192 242 302 312 314 332	328663668408
TPT(14)	1008104342206411157	0 2 24 26 30 32 54 56 114 116 162 164 180 182	333989784426
STPT(10)	1008104366308417661	0 2 90 92 108 110 126 128 216 218	358091790930
TPT(14)	1008104501178580007	0 2 12 14 24 26 54 56 144 146 180 182 222 224	492961953276
SPT(16)	1008104523246547999	0 28 42 54 100 114 130 174 208 252 268 282 328 340 354 382	515029921268