Prime p₀= 1776586998103626347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 58 2 76 2 58 2 70 2 (?)
a_n: 0 2 72 74 132 134 210 212 270 272 342 344
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: 344
Found by: Senilix
db: batch=79, k=12, 2 70 2 58 2 76

SPT(16)	1776586097005530431	0 18 36 62 92 126 210 228 260 278 362 396 426 452 470 488	-901098095916
SPT(16)	1776586356988058137	0 12 34 40 46 54 82 126 130 174 202 210 216 222 244 256	-641115568210
SPT(16)	1776586476208007083	0 6 48 70 118 126 166 196 228 258 298 306 354 376 418 424	-521895619264
SPT(16)	1776586632743058761	0 72 78 86 92 120 176 182 186 192 248 276 282 290 296 368	-365360567586
STPT(10)	1776586747900463027	0 2 42 44 72 74 102 104 144 146	-250203163320
STPT(10)	1776586959774333389	0 2 48 50 90 92 132 134 180 182	-38329292958
TPT(14)	1776587345451651617	0 2 162 164 222 224 234 236 264 266 294 296 384 386	347348025270
STPT(10)	1776587661843783317	0 2 12 14 42 44 72 74 84 86	663740156970
SPT(16)	1776587780741897797	0 100 102 114 144 150 154 172 174 192 196 202 232 244 246 346	782638271450
STPT(10)	1776588091185178079	0 2 48 50 90 92 132 134 180 182	1093081551732
STPT(10)	1776589005476972117	0 2 30 32 72 74 114 116 144 146	2007373345770