Prime p₀= 3091605826304214977 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: herby44
db: batch=83, k=12, 2 28 2 10 2 46

STPT(10)	3091603843858169597	0 2 24 26 42 44 60 62 84 86	-1982446045380
SPT(16)	3091603968931295491	0 10 42 76 78 102 186 192 196 202 286 310 312 346 378 388	-1857372919486
STPT(10)	3091604170485486737	0 2 54 56 72 74 90 92 144 146	-1655818728240
STPT(10)	3091604879794362317	0 2 12 14 42 44 72 74 84 86	-946509852660
SPT(16)	3091604958718229903	0 36 48 56 60 78 108 126 140 158 188 206 210 218 230 266	-867585985074
SPT(16)	3091605288654771799	0 18 70 94 154 180 210 232 270 292 322 348 408 432 484 502	-537649443178
STPT(10)	3091605983727947591	0 2 6 8 48 50 90 92 96 98	157423732614
SPT(16)	3091606071506594179	0 4 18 40 52 72 114 130 222 238 280 300 312 334 348 352	245202379202
SPT(16)	3091606576088374661	0 36 56 98 128 146 182 198 260 276 312 330 360 402 422 458	749784159684
STPT(10)	3091606665530483291	0 2 36 38 78 80 120 122 156 158	839226268314
SPT(16)	3091607071923003461	0 6 32 48 60 90 92 102 146 156 158 188 200 216 242 248	1245618788484