Prime p₀= 1823077928563688759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 64 2 82 2 16 2 10 2 (?)
a_n: 0 2 18 20 72 74 138 140 222 224 240 242 252 254
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: 254
Found by: amazing
db: batch=79, k=14, 16 52 64 82 16 10

SPT(16)	1823076538472002921	0 6 42 118 126 132 142 148 210 216 226 232 240 316 352 358	-1390091685838
STPT(10)	1823076796736066099	0 2 48 50 90 92 132 134 180 182	-1131827622660
TPT(14)	1823076996048353909	0 2 12 14 42 44 78 80 90 92 132 134 222 224	-932515334850
STPT(10)	1823077292842115207	0 2 42 44 72 74 102 104 144 146	-635721573552
SPT(16)	1823077464107930159	0 12 38 42 44 104 152 182 330 360 408 468 470 474 500 512	-464455758600
SPT(16)	1823077681039526767	0 22 42 70 76 114 144 172 174 202 232 270 276 304 324 346	-247524161992
SPT(16)	1823077960945686329	0 54 104 108 114 132 240 258 464 482 590 608 614 618 668 722	32381997570
SPT(16)	1823078330955113971	0 16 30 82 88 102 112 126 142 156 166 180 186 238 252 268	402391425212
SPT(20)	1823078559187253801	0 2 6 12 26 38 72 122 132 138 140 146 156 206 240 252 266 272 276 278	630623565042
STPT(10)	1823079082105341329	0 2 78 80 150 152 222 224 300 302	1153541652570
SPT(16)	1823079095887248701	0 6 56 90 116 140 150 188 228 266 276 300 326 360 410 416	1167323559942