Prime p₀= 1178455899389027321 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: xii5ku
db: batch=77, k=12, 2 28 2 28 2 46

SPT(16)	1178455041447393763	0 48 120 148 160 180 208 228 316 336 364 384 396 424 496 544	-857941633558
STPT(10)	1178455072699084949	0 2 18 20 30 32 42 44 60 62	-826689942372
SPT(16)	1178455158890966777	0 36 42 74 134 140 176 182 234 240 276 282 342 374 380 416	-740498060544
STPT(10)	1178455630506519689	0 2 18 20 30 32 42 44 60 62	-268882507632
SPT(16)	1178455687896830197	0 60 64 72 112 136 162 180 196 214 240 264 304 312 316 376	-211492197124
SPT(16)	1178455807594469779	0 4 48 82 88 138 154 180 202 228 244 294 300 334 378 382	-91794557542
STPT(10)	1178455945881375947	0 2 30 32 60 62 90 92 120 122	46492348626
SPT(16)	1178456170411496303	0 26 38 74 98 140 164 200 294 330 354 396 420 456 468 494	271022468982
SPT(16)	1178456810920989023	0 14 50 56 120 218 228 230 294 296 306 404 468 474 510 524	911531961702
SPT(16)	1178456840496978473	0 44 48 54 78 90 144 146 168 170 224 236 260 266 270 314	941107951152
SPT(16)	1178457022738149151	0 18 22 60 106 112 126 202 216 292 306 312 358 396 400 418	1123349121830