Prime p₀= 2971735777166033957 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 28 2 10

STPT(10)	2971734780663591947	0 2 42 44 132 134 222 224 264 266	-996502442010
SPT(16)	2971735019039629459	0 42 52 60 70 168 172 198 262 288 292 390 400 408 418 460	-758126404498
SPT(16)	2971735093293272279	0 32 44 68 120 228 240 282 290 332 344 452 504 528 540 572	-683872761678
SPT(16)	2971735103357175923	0 54 108 110 174 260 270 278 300 308 318 404 468 470 524 578	-673808858034
TPT(14)	2971735168859824889	0 2 12 14 60 62 132 134 168 170 210 212 222 224	-608306209068
SPT(16)	2971735604554744603	0 34 46 64 120 130 144 168 196 220 234 244 300 318 330 364	-172611289354
STPT(10)	2971736383392444719	0 2 18 20 30 32 42 44 60 62	606226410762
STPT(10)	2971736410386225569	0 2 42 44 90 92 138 140 180 182	633220191612
STPT(10)	2971736452044401849	0 2 78 80 150 152 222 224 300 302	674878367892
SPT(16)	2971736705698061131	0 6 18 22 52 70 78 88 150 160 168 186 216 220 232 238	928532027174
STPT(10)	2971736843370405947	0 2 42 44 72 74 102 104 144 146	1066204371990