Prime p₀= 1056726565350885629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 172 2 154 2 28 2 232 2 4 2 (?)
a_n: 0 2 48 50 222 224 378 380 408 410 642 644 648 650
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 650
Found by: vinn@[CNT]
db: batch=76, k=14, 46 172 154 28 232 4

STPT(10)	1056725700803261759	0 2 48 50 90 92 132 134 180 182	-864547623870
STPT(10)	1056725936343476429	0 2 18 20 30 32 42 44 60 62	-629007409200
STPT(10)	1056725990803386521	0 2 36 38 78 80 120 122 156 158	-574547499108
SPT(16)	1056726057083841251	0 18 48 60 78 98 120 122 126 128 150 170 188 200 230 248	-508267044378
SPT(16)	1056726339282942071	0 2 8 32 38 80 156 162 206 212 288 330 336 360 366 368	-226067943558
SPT(16)	1056726488087933057	0 14 24 42 50 84 126 152 264 290 332 366 374 392 402 416	-77262952572
SPT(16)	1056726894791376859	0 18 58 70 88 100 114 154 198 238 252 264 282 294 334 352	329440491230
STPT(12)	1056727169661900689	0 2 12 14 42 44 78 80 108 110 120 122	604311015060
SPT(16)	1056727209030107143	0 28 48 124 168 184 196 198 226 228 240 256 300 376 396 424	643679221514
SPT(16)	1056727312435454249	0 14 32 72 80 90 104 132 140 168 182 192 200 240 258 272	747084568620
TPT(14)	1056727474467372731	0 2 18 20 36 38 90 92 156 158 240 242 288 290	909116487102