Prime p₀= 4044939167449691921 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 34 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 126 128 168 170 216 218
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: 218
Found by: Centaur
db: batch=84, k=12, 2 46 2 40 2 34

SPT(16)	4044937874824559719	0 10 52 90 118 130 174 282 340 448 492 504 532 570 612 622	-1292625132202
SPT(16)	4044938261912460953	0 56 60 68 74 80 98 120 374 396 414 420 426 434 438 494	-905537230968
STPT(10)	4044938280681266789	0 2 42 44 60 62 78 80 120 122	-886768425132
STPT(10)	4044938708202524681	0 2 6 8 48 50 90 92 96 98	-459247167240
STPT(10)	4044938803496490041	0 2 6 8 18 20 30 32 36 38	-363953201880
SPT(16)	4044938932604264881	0 36 46 82 88 148 228 238 300 310 390 450 456 492 502 538	-234845427040
SPT(16)	4044939578434079861	0 12 56 72 78 96 156 182 216 242 302 320 326 342 386 398	410984387940
SPT(16)	4044939688435957931	0 68 78 98 110 156 180 188 210 218 242 288 300 320 330 398	520986266010
SPT(16)	4044939848240303273	0 18 66 86 108 114 156 158 216 218 260 266 288 308 356 374	680790611352
STPT(10)	4044940139894543969	0 2 48 50 60 62 72 74 120 122	972444852048
SPT(16)	4044940328578478339	0 44 72 98 114 150 174 240 272 338 362 398 414 440 468 512	1161128786418