Prime p₀= 2166436667399228891 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 10 2 178 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 198 200 210 212 216 218
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: 218
Found by: Penguin
db: batch=81, k=12, 2 4 2 10 2 178

SPT(16)	2166435861008178161	0 6 12 36 42 50 90 108 110 128 168 176 182 206 212 218	-806391050730
STPT(10)	2166435890110377209	0 2 18 20 30 32 42 44 60 62	-777288851682
SPT(16)	2166436080687889393	0 10 34 40 60 66 76 78 136 138 148 154 174 180 204 214	-586711339498
SPT(16)	2166436241470663597	0 4 40 112 156 196 220 222 394 396 420 460 504 576 612 616	-425928565294
SPT(16)	2166436340816897021	0 26 32 36 78 90 126 138 140 152 188 200 242 246 252 278	-326582331870
STPT(12)	2166436460564448617	0 2 30 32 42 44 72 74 84 86 114 116	-206834780274
TPT(14)	2166436853189566187	0 2 60 62 282 284 294 296 360 362 402 404 462 464	185790337296
STPT(10)	2166437205447948581	0 2 36 38 78 80 120 122 156 158	538048719690
SPT(16)	2166437208502801447	0 16 22 30 42 70 82 142 384 444 456 484 496 504 510 526	541103572556
STPT(10)	2166437315542869539	0 2 42 44 60 62 78 80 120 122	648143640648
STPT(10)	2166437373139890197	0 2 12 14 42 44 72 74 84 86	705740661306