Prime p₀= 2493323527461754709 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 64 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 138 140 168 170 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=12, 2 40 2 28 2 64

SPT(16)	2493321972603616247	0 30 56 74 104 114 140 170 186 216 242 252 282 300 326 356	-1554858138462
SPT(16)	2493322246736304377	0 42 50 80 104 164 174 242 384 452 462 522 546 576 584 626	-1280725450332
STPT(10)	2493322518851197637	0 2 90 92 102 104 114 116 204 206	-1008610557072
STPT(10)	2493322614826911191	0 2 30 32 120 122 210 212 240 242	-912634843518
SPT(16)	2493323170239799819	0 12 34 64 102 124 150 154 228 232 258 280 318 348 370 382	-357221954890
SPT(16)	2493323238895251779	0 2 8 24 122 128 162 188 234 260 294 300 398 414 420 422	-288566502930
TPT(14)	2493323635013487971	0 2 6 8 30 32 90 92 126 128 168 170 186 188	107551733262
STPT(10)	2493323771711164289	0 2 18 20 30 32 42 44 60 62	244249409580
SPT(16)	2493324010707882377	0 20 44 90 120 212 242 260 306 324 354 446 476 522 546 566	483246127668
TPT(14)	2493324905527678799	0 2 90 92 150 152 168 170 222 224 300 302 330 332	1378065924090
SPT(16)	2493324976405163077	0 22 30 64 90 156 172 214 312 354 370 436 462 496 504 526	1448943408368