Prime p₀= 307120847670970481 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 16 2 10 2 16 2 (?)
a_n: 0 2 66 68 78 80 96 98 108 110 126 128
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: desktop64
db: batch=70, k=12, 64 10 16 10 16

SPT(16)	307120768082638109	0 12 80 98 140 162 204 234 248 278 320 342 384 402 470 482	-79588332372
TPT(12)	307120774979467661	0 2 156 158 216 218 246 248 330 332 396 398	-72691502820
SPT(14)	307120779994072427	0 12 32 80 110 144 152 174 182 216 246 294 314 326	-67676898054
SPT(14)	307120781289283309	0 10 28 40 54 78 88 144 154 178 192 204 222 232	-66381687172
SPT(14)	307120800383970877	0 30 52 66 82 94 106 210 222 234 250 264 286 316	-47286999604
SPT(14)	307120827812790743	0 24 30 38 56 66 68 96 98 108 126 134 140 164	-19858179738
SPT(14)	307120861891329221	0 42 60 66 80 102 152 156 206 228 242 248 266 308	14220358740
TPT(12)	307120869632770601	0 2 78 80 90 92 156 158 258 260 336 338	21961800120
SPT(14)	307120888170539617	0 16 42 52 54 82 100 126 144 172 174 184 210 226	40499569136
SPT(14)	307120888719572549	0 30 42 72 84 90 108 164 182 188 200 230 242 272	41048602068
SPT(14)	307120924660643629	0 4 18 22 40 42 48 154 160 162 180 184 198 202	76989673148