Prime p₀= 2122616461939828187 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 144 146
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: 146
Found by: Dingo
db: batch=80, k=12, 2 10 2 40 2 34

SPT(16)	2122614245509916527	0 6 12 22 36 84 96 106 150 160 172 220 234 244 250 256	-2216429911660
STPT(10)	2122614245627652317	0 2 30 32 72 74 114 116 144 146	-2216312175870
STPT(10)	2122614821994691877	0 2 30 32 72 74 114 116 144 146	-1639945136310
SPT(16)	2122615080163167047	0 6 42 72 80 84 104 110 126 132 152 156 164 194 230 236	-1381776661140
STPT(10)	2122616278525833059	0 2 12 14 30 32 48 50 60 62	-183413995128
SPT(16)	2122616448393656711	0 30 38 48 60 66 122 158 240 276 332 338 350 360 368 398	-13546171476
SPT(16)	2122616729700237593	0 18 36 50 84 114 128 260 264 396 410 440 474 488 506 524	267760409406
TPT(14)	2122617133938778577	0 2 60 62 114 116 174 176 204 206 270 272 300 302	671998950390
SPT(16)	2122617209723273587	0 84 90 114 126 132 136 154 192 210 214 220 232 256 262 346	747783445400
TPT(14)	2122617316352783009	0 2 12 14 138 140 180 182 240 242 258 260 378 380	854412954822
SPT(16)	2122617698327399381	0 36 56 78 96 128 210 212 246 248 330 362 380 402 422 458	1236387571194