Prime p₀= 2154308836395626747 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 10 2 28 2 10 2 28 2 (?)
a_n: 0 2 72 74 90 92 102 104 132 134 144 146 174 176
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: 176
Found by: Paul
db: batch=81, k=14, 70 16 10 28 10 28

TPT(14)	2154308106900438899	0 2 12 14 18 20 102 104 168 170 198 200 252 254	-729495187848
SPT(16)	2154308118812026379	0 20 24 90 114 132 140 144 170 174 182 200 224 290 294 314	-717583600368
SPT(16)	2154308178945369287	0 24 42 110 144 150 224 234 242 252 326 332 366 434 452 476	-657450257460
SPT(16)	2154308304649191709	0 22 30 40 78 82 84 118 204 238 240 244 282 292 300 322	-531746435038
SPT(16)	2154308321955947803	0 16 18 24 64 88 148 178 246 276 336 360 400 406 408 424	-514439678944
SPT(16)	2154308431767989411	0 6 36 38 80 96 110 162 206 258 272 288 330 332 362 368	-404627637336
SPT(16)	2154308848392052777	0 6 40 42 66 106 112 126 130 144 150 190 214 216 250 256	11996426030
TPT(14)	2154308858567065127	0 2 42 44 54 56 72 74 132 134 144 146 222 224	22171438380
STPT(10)	2154308940346384487	0 2 12 14 42 44 72 74 84 86	103950757740
TPT(14)	2154309108233776589	0 2 102 104 168 170 210 212 240 242 270 272 342 344	271838149842
STPT(10)	2154309605375798207	0 2 30 32 42 44 54 56 84 86	768980171460