Prime p₀= 1425960573083623331 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
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: 128
Found by: Theadalus
db: batch=78, k=12, 2 28 2 28 2 4

TPT(14)	1425959250018828377	0 2 24 26 30 32 54 56 84 86 144 146 282 284	-1323064794954
SPT(16)	1425959376529868281	0 6 28 48 96 126 136 208 210 282 292 322 370 390 412 418	-1196553755050
SPT(18)	1425959427393749357	0 2 30 32 44 50 62 102 134 180 212 252 264 270 282 284 312 314	-1145689873974
SPT(16)	1425959790508522679	0 18 20 50 68 152 168 180 350 362 378 462 480 510 512 530	-782575100652
SPT(16)	1425959907732304237	0 10 12 16 90 96 126 192 244 310 340 346 420 424 426 436	-665351319094
STPT(10)	1425960292720147571	0 2 30 32 78 80 126 128 156 158	-280363475760
SPT(16)	1425960633287751571	0 70 90 118 156 180 240 246 370 376 436 460 498 526 546 616	60204128240
STPT(10)	1425960837736200551	0 2 30 32 60 62 90 92 120 122	264652577220
STPT(10)	1425960957698912249	0 2 18 20 30 32 42 44 60 62	384615288918
STPT(10)	1425961669337690447	0 2 30 32 42 44 54 56 84 86	1096254067116
SPT(16)	1425961913998372679	0 14 60 74 102 104 132 152 210 230 258 260 288 302 348 362	1340914749348