Prime p₀= 1307318641594248329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 118 2 34 2 10 2 28 2 58 2 (?)
a_n: 0 2 12 14 132 134 168 170 180 182 210 212 270 272
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: 272
Found by: vaughan
db: batch=77, k=14, 10 118 34 10 28 58

STPT(10)	1307317568044231589	0 2 18 20 30 32 42 44 60 62	-1073550016740
TPT(14)	1307317706030810867	0 2 24 26 30 32 42 44 84 86 120 122 162 164	-935563437462
SPT(16)	1307317774307743301	0 32 42 48 90 98 116 126 152 162 180 188 230 236 246 278	-867286505028
SPT(16)	1307318082976239011	0 12 60 72 110 116 140 156 182 198 222 228 266 278 326 338	-558618009318
TPT(16)	1307318150397987149	0 2 30 32 210 212 270 272 342 344 468 470 492 494 498 500	-491196261180
SPT(16)	1307318535851921473	0 58 96 108 130 136 154 180 184 210 228 234 256 268 306 364	-105742326856
SPT(16)	1307318818505117113	0 24 54 70 90 100 114 138 196 220 234 244 264 280 310 334	176910868784
SPT(16)	1307319016206603629	0 8 14 62 80 92 104 108 164 168 180 192 210 258 264 272	374612355300
SPT(16)	1307319077026023917	0 44 72 86 126 144 170 174 182 186 212 230 270 284 312 356	435431775588
SPT(16)	1307319116244188771	0 20 26 72 96 120 122 140 162 180 182 206 230 276 282 302	474649940442
STPT(10)	1307319242034042509	0 2 18 20 30 32 42 44 60 62	600439794180