Prime p₀= 1056727169661900689 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: stoneageman
db: batch=76, k=12, 2 10 2 28 2 34

STPT(10)	1056725990803386521	0 2 36 38 78 80 120 122 156 158	-1178858514168
SPT(16)	1056726057083841251	0 18 48 60 78 98 120 122 126 128 150 170 188 200 230 248	-1112578059438
SPT(16)	1056726339282942071	0 2 8 32 38 80 156 162 206 212 288 330 336 360 366 368	-830378958618
SPT(16)	1056726488087933057	0 14 24 42 50 84 126 152 264 290 332 366 374 392 402 416	-681573967632
TPT(14)	1056726565350885629	0 2 48 50 222 224 378 380 408 410 642 644 648 650	-604311015060
SPT(16)	1056726894791376859	0 18 58 70 88 100 114 154 198 238 252 264 282 294 334 352	-274870523830
SPT(16)	1056727209030107143	0 28 48 124 168 184 196 198 226 228 240 256 300 376 396 424	39368206454
SPT(16)	1056727312435454249	0 14 32 72 80 90 104 132 140 168 182 192 200 240 258 272	142773553560
TPT(14)	1056727474467372731	0 2 18 20 36 38 90 92 156 158 240 242 288 290	304805472042
STPT(10)	1056727584172357451	0 2 6 8 48 50 90 92 96 98	414510456762
SPT(16)	1056727638095807819	0 12 84 98 102 114 164 180 182 198 248 260 264 278 350 362	468433907130