Prime p₀= 1055700653458838141 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: stoneageman
db: batch=76, k=12, 2 28 2 28 2 4

STPT(12)	1055698797039190439	0 2 18 20 42 44 78 80 102 104 120 122	-1856419647702
SPT(16)	1055698813932536083	0 6 30 60 66 78 88 148 156 216 226 238 244 274 298 304	-1839526302058
SPT(16)	1055699091950073677	0 2 84 116 140 162 170 210 446 486 494 516 540 572 654 656	-1561508764464
SPT(16)	1055699414370366047	0 66 102 122 144 150 162 204 272 314 326 332 354 374 410 476	-1239088472094
SPT(16)	1055700255168078749	0 50 60 78 104 158 162 210 242 290 294 348 374 392 402 452	-398290759392
STPT(10)	1055700325798937417	0 2 30 32 42 44 54 56 84 86	-327659900724
SPT(16)	1055700705761220133	0 58 60 94 138 160 168 228 250 310 318 340 384 418 420 478	52302381992
SPT(16)	1055700915783881033	0 18 44 56 86 150 170 266 318 414 434 498 528 540 566 584	262325042892
STPT(10)	1055700949239657839	0 2 18 20 30 32 42 44 60 62	295780819698
SPT(16)	1055701458354214907	0 2 36 42 86 92 102 182 240 320 330 336 380 386 420 422	804895376766
TPT(14)	1055701478374807001	0 2 48 50 90 92 150 152 246 248 288 290 330 332	824915968860