Prime p₀= 786458745116114069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: paulteo
db: batch=73, k=12, 2 28 2 10 2 16

SPT(16)	786457593967666261	0 36 58 88 130 138 148 156 172 180 190 198 240 270 292 328	-1151148447808
SPT(16)	786458225508607207	0 52 54 66 106 142 210 220 306 316 384 420 460 472 474 526	-519607506862
STPT(10)	786458255008758557	0 2 30 32 42 44 54 56 84 86	-490107355512
SPT(16)	786458380162650697	0 10 22 40 60 66 106 130 186 210 250 256 276 294 306 316	-364953463372
SPT(16)	786458704529047223	0 18 56 84 134 150 188 200 234 246 284 300 350 378 416 434	-40587066846
STPT(10)	786458717621045639	0 2 18 20 30 32 42 44 60 62	-27495068430
SPT(16)	786458870510797087	0 22 30 90 136 162 196 274 282 360 394 420 466 526 534 556	125394683018
SPT(16)	786459032453480591	0 32 38 62 80 86 98 108 140 150 162 168 186 210 216 248	287337366522
SPT(16)	786459040231756351	0 18 40 48 96 166 186 208 210 232 252 322 370 378 400 418	295115642282
SPT(16)	786459170578345673	0 24 44 66 78 114 128 156 188 216 230 266 278 300 320 344	425462231604
SPT(16)	786459361939504717	0 6 16 22 36 70 90 144 202 256 276 310 324 330 340 346	616823390648