Prime p₀= 1726383575764206809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 208 2 148 2 58 2 40 2 28 2 (?)
a_n: 0 2 60 62 270 272 420 422 480 482 522 524 552 554
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: 554
Found by: mg13 [HWU]
db: batch=79, k=14, 58 208 148 58 40 28

SPT(16)	1726382833890962531	0 6 20 62 72 86 162 216 302 356 432 446 456 498 512 518	-741873244278
SPT(16)	1726382920413889379	0 24 74 98 104 108 132 144 188 200 224 228 234 258 308 332	-655350317430
STPT(10)	1726382922506969999	0 2 18 20 30 32 42 44 60 62	-653257236810
SPT(20)	1726383171021000727	0 126 130 132 202 214 264 300 306 340 366 400 406 442 492 504 574 576 580 706	-404743206082
SPT(16)	1726383362392703719	0 4 78 90 132 144 154 172 210 228 238 250 292 304 378 382	-213371503090
STPT(12)	1726383512059455407	0 2 12 14 54 56 90 92 132 134 144 146	-63704751402
SPT(16)	1726384118449037413	0 64 88 108 120 130 148 174 190 216 234 244 256 276 300 364	542684830604
STPT(10)	1726385003510165891	0 2 6 8 48 50 90 92 96 98	1427745959082
SPT(16)	1726385140911187433	0 8 18 20 80 96 108 138 146 176 188 204 264 266 276 284	1565146980624
STPT(10)	1726385255219234507	0 2 42 44 102 104 162 164 204 206	1679455027698
SPT(16)	1726385315494052453	0 18 56 66 104 126 140 144 170 174 188 210 248 258 296 314	1739729845644