Prime p₀= 1478726266416761861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 106 2 10 2 76 2 22 2 64 2 (?)
a_n: 0 2 48 50 156 158 168 170 246 248 270 272 336 338
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: 338
Found by: vinn@[CNT]
db: batch=78, k=14, 46 106 10 76 22 64

SPT(16)	1478724670747735237	0 22 30 54 60 82 106 154 222 270 294 316 322 346 354 376	-1595669026624
STPT(10)	1478724683196105617	0 2 24 26 42 44 60 62 84 86	-1583220656244
SPT(16)	1478725014050183777	0 50 56 72 92 176 182 210 296 324 330 414 434 450 456 506	-1252366578084
SPT(16)	1478725729082668679	0 32 90 140 182 224 240 252 260 272 288 330 372 422 480 512	-537334093182
SPT(16)	1478725778731351751	0 6 18 30 72 90 128 152 186 210 248 266 308 320 332 338	-487685410110
STPT(10)	1478726142104979749	0 2 18 20 60 62 102 104 120 122	-124311782112
STPT(10)	1478726308684299287	0 2 90 92 132 134 174 176 264 266	42267537426
STPT(10)	1478726310978422291	0 2 36 38 78 80 120 122 156 158	44561660430
STPT(10)	1478726425098908717	0 2 30 32 42 44 54 56 84 86	158682146856
SPT(16)	1478726813605745177	0 56 80 92 122 132 182 216 236 270 320 330 360 372 396 452	547188983316
SPT(16)	1478727702316857151	0 60 78 82 102 112 120 136 162 178 186 196 216 220 238 298	1435900095290