Prime p₀= 756573746647413347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 16 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 90 92 120 122 162 164
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: 164
Found by: [SG]steini
db: batch=73, k=12, 2 40 2 28 2 16

STPT(10)	756573063646830341	0 2 6 8 18 20 30 32 36 38	-683000583006
SPT(16)	756573119299848889	0 10 24 30 70 234 238 250 252 264 268 432 472 478 492 502	-627347564458
SPT(16)	756573455558333527	0 6 22 30 34 52 64 72 154 162 174 192 196 204 220 226	-291089079820
SPT(16)	756573550770373879	0 4 28 30 82 102 124 184 228 288 310 330 382 384 408 412	-195877039468
SPT(16)	756573664952900527	0 36 52 66 120 126 150 172 234 256 280 286 340 354 370 406	-81694512820
TPT(14)	756573713531332757	0 2 54 56 84 86 90 92 144 146 294 296 300 302	-33116080590
SPT(16)	756573826009068953	0 8 26 30 54 56 86 98 156 168 198 200 224 228 246 254	79361655606
SPT(16)	756574178630639783	0 84 150 170 176 186 200 204 326 330 344 354 360 380 446 530	431983226436
STPT(10)	756574465469191511	0 2 6 8 18 20 30 32 36 38	718821778164
SPT(16)	756574774416111809	0 98 104 132 168 200 240 320 342 422 462 494 530 558 564 662	1027768698462
SPT(16)	756574822137211457	0 72 84 102 122 144 162 164 252 254 272 294 314 332 344 416	1075489798110