Prime p₀= 2767310148447698681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 10 2 16 2 40 2 4 2 (?)
a_n: 0 2 36 38 48 50 60 62 78 80 120 122 126 128
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: 128
Found by: fzs600
db: batch=82, k=14, 34 10 10 16 40 4

SPT(16)	2767309532074884523	0 24 70 114 150 210 234 238 240 244 268 328 364 408 454 478	-616372814158
SPT(16)	2767309562768353907	0 66 80 120 146 222 234 260 306 332 344 420 446 486 500 566	-585679344774
TPT(14)	2767309608888922919	0 2 48 50 90 92 108 110 132 134 258 260 288 290	-539558775762
STPT(10)	2767309986433525241	0 2 36 38 78 80 120 122 156 158	-162014173440
STPT(10)	2767310007484667147	0 2 24 26 42 44 60 62 84 86	-140963031534
SPT(16)	2767310047605323981	0 8 68 90 98 122 150 180 230 260 288 312 320 342 402 410	-100842374700
SPT(16)	2767310173725651913	0 24 30 46 60 120 154 274 276 396 430 490 504 520 526 550	25277953232
STPT(12)	2767310206287401777	0 2 30 32 72 74 90 92 132 134 162 164	57839703096
SPT(16)	2767310666340197521	0 12 22 42 70 126 136 148 150 162 172 228 256 276 286 298	517892498840
SPT(16)	2767310811717072469	0 72 84 114 118 154 172 214 258 300 318 354 358 388 400 472	663269373788
SPT(16)	2767310885431889483	0 8 18 30 56 66 176 180 224 228 338 348 374 386 396 404	736984190802