Prime p₀= 2343296446657051997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 178 2 16 2 22 2 298 2 28 2 (?)
a_n: 0 2 12 14 192 194 210 212 234 236 534 536 564 566
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: 566
Found by: JohnMD
db: batch=81, k=14, 10 178 16 22 298 28

TPT(14)	2343295395752397521	0 2 30 32 66 68 78 80 138 140 240 242 378 380	-1050904654476
SPT(16)	2343295418257209937	0 10 22 52 82 96 132 192 250 310 346 360 390 420 432 442	-1028399842060
STPT(10)	2343295529867066141	0 2 6 8 48 50 90 92 96 98	-916789985856
SPT(16)	2343295900822744289	0 8 14 42 92 114 198 204 308 314 398 420 470 498 504 512	-545834307708
STPT(10)	2343296055519094889	0 2 48 50 90 92 132 134 180 182	-391137957108
SPT(16)	2343296057234206253	0 20 36 44 56 78 114 158 186 230 266 288 300 308 324 344	-389422845744
STPT(10)	2343296906460903707	0 2 30 32 72 74 114 116 144 146	459803851710
STPT(12)	2343297390470962529	0 2 30 32 42 44 48 50 60 62 90 92	943813910532
STPT(10)	2343297472534816937	0 2 42 44 72 74 102 104 144 146	1025877764940
SPT(16)	2343297508195621657	0 10 52 54 150 190 240 252 262 274 324 364 460 462 504 514	1061538569660
SPT(16)	2343297565667943173	0 50 90 116 134 146 150 164 186 200 204 216 234 260 300 350	1119010891176