Prime p₀= 2154305289517109501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 22 2 34 2 118 2 10 2 (?)
a_n: 0 2 36 38 66 68 90 92 126 128 246 248 258 260
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: 260
Found by: Paul
db: batch=81, k=14, 34 28 22 34 118 10

TPT(14)	2154303365751936689	0 2 108 110 132 134 138 140 210 212 222 224 342 344	-1923765172812
STPT(10)	2154303508274073587	0 2 30 32 72 74 114 116 144 146	-1781243035914
SPT(16)	2154303611318335643	0 26 38 140 168 176 180 188 378 386 390 398 426 528 540 566	-1678198773858
SPT(16)	2154304245195954149	0 18 30 48 50 90 110 152 288 330 350 390 392 410 422 440	-1044321155352
SPT(16)	2154304294940911613	0 48 78 90 110 134 140 168 230 258 264 288 308 320 350 398	-994576197888
STPT(10)	2154304504411714481	0 2 30 32 78 80 126 128 156 158	-785105395020
STPT(10)	2154305301759993059	0 2 18 20 30 32 42 44 60 62	12242883558
SPT(16)	2154305400774269317	0 16 64 124 154 156 204 220 240 256 304 306 336 396 444 460	111257159816
SPT(16)	2154305694046308371	0 2 6 18 38 60 78 108 140 170 188 210 230 242 246 248	404529198870
SPT(16)	2154305730145398757	0 12 22 120 154 166 180 184 222 226 240 252 286 384 394 406	440628289256
SPT(16)	2154306892242849521	0 78 80 108 116 156 176 212 246 282 302 342 350 378 380 458	1602725740020