Prime p₀= 813864804645016769 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: Theadalus
db: batch=73, k=12, 2 10 2 58 2 4

TPT(14)	813864433325173577	0 2 42 44 84 86 114 116 144 146 222 224 240 242	-371319843192
STPT(10)	813864573247441907	0 2 42 44 72 74 102 104 144 146	-231397574862
SPT(16)	813864580773010231	0 6 10 28 70 100 142 166 192 216 258 288 330 348 352 358	-223872006538
SPT(16)	813864661648199809	0 22 42 88 124 168 174 228 274 328 334 378 414 460 480 502	-142996816960
SPT(13)	813864710755686911	0 12 60 102 132 168 180 192 228 258 300 348 360	-93889329858
SPT(16)	813864763427954573	0 24 26 38 44 80 84 114 140 170 174 210 216 228 230 254	-41217062196
TPT(14)	813864873117418457	0 2 12 14 24 26 54 56 150 152 192 194 252 254	68472401688
SPT(16)	813865938099672569	0 14 24 48 90 128 210 234 248 272 354 392 434 458 468 482	1133454655800
SPT(16)	813865968446057099	0 2 42 80 132 158 174 210 212 248 264 290 342 380 420 422	1163801040330
SPT(16)	813866131133763431	0 38 50 138 152 182 192 240 260 308 318 348 362 450 462 500	1326488746662
STPT(10)	813866384970592769	0 2 12 14 30 32 48 50 60 62	1580325576000