Prime p₀= 1543308836965723577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 46 2 82 2 16 2 208 2 (?)
a_n: 0 2 24 26 72 74 120 122 204 206 222 224 432 434
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: 434
Found by: xii5ku
db: batch=78, k=14, 22 46 46 82 16 208

SPT(16)	1543307947933043351	0 68 78 90 92 96 122 182 246 306 332 336 338 350 360 428	-889032680226
SPT(16)	1543307983083319543	0 4 6 28 48 84 88 90 94 96 100 136 156 178 180 184	-853882404034
SPT(16)	1543308124606734331	0 16 46 52 60 96 112 130 138 156 172 208 216 222 252 268	-712358989246
SPT(16)	1543308328018295257	0 24 42 46 70 90 94 102 124 132 136 156 180 184 202 226	-508947428320
STPT(10)	1543308378485053949	0 2 18 20 30 32 42 44 60 62	-458480669628
STPT(10)	1543308466283494679	0 2 18 20 30 32 42 44 60 62	-370682228898
STPT(10)	1543309000607295917	0 2 30 32 72 74 114 116 144 146	163641572340
SPT(16)	1543309094462585243	0 36 66 78 96 134 138 164 180 206 210 248 266 278 308 344	257496861666
SPT(16)	1543309167919006067	0 2 12 20 30 42 90 180 182 272 320 332 342 350 360 362	330953282490
SPT(16)	1543309281467593903	0 6 60 126 154 160 190 216 238 264 294 300 328 394 448 454	444501870326
SPT(16)	1543309360548261067	0 102 150 154 160 172 180 196 240 256 264 276 282 286 334 436	523582537490