Prime p₀= 1246479356992036631 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 28 2 52 2 28 2 4 2 (?)
a_n: 0 2 6 8 36 38 90 92 120 122 126 128
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: 128
Found by: stoneageman
db: batch=77, k=12, 2 4 2 28 2 52

SPT(16)	1246478518355232593	0 8 26 36 54 60 78 90 104 116 134 140 158 168 186 194	-838636804038
STPT(10)	1246478648883483179	0 2 48 50 90 92 132 134 180 182	-708108553452
STPT(10)	1246478735437934597	0 2 30 32 42 44 54 56 84 86	-621554102034
SPT(16)	1246478886406061029	0 12 100 112 124 130 172 190 204 222 264 270 282 294 382 394	-470585975602
SPT(16)	1246479064724027171	0 6 56 60 66 98 126 168 188 230 258 290 296 300 350 356	-292268009460
STPT(10)	1246479156368135771	0 2 6 8 48 50 90 92 96 98	-200623900860
STPT(10)	1246479507260047769	0 2 42 44 60 62 78 80 120 122	150268011138
STPT(10)	1246479576009049817	0 2 30 32 42 44 54 56 84 86	219017013186
SPT(16)	1246479635618447911	0 16 42 66 70 76 90 102 160 172 186 192 196 220 246 262	278626411280
SPT(16)	1246479714038369009	0 2 30 44 72 122 138 150 182 194 210 260 288 302 330 332	357046332378
SPT(16)	1246479770877542027	0 24 36 80 114 126 150 212 234 296 320 332 366 410 422 446	413885505396