Prime p₀= 2770725264007324751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 220 2 28 2 58 2 76 2 58 2 (?)
a_n: 0 2 96 98 318 320 348 350 408 410 486 488 546 548
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: 548
Found by: JayPi
db: batch=82, k=14, 94 220 28 58 76 58

TPT(14)	2770724379127133267	0 2 102 104 144 146 150 152 282 284 312 314 324 326	-884880191484
SPT(16)	2770725028121677871	0 6 60 66 122 132 138 150 188 200 206 216 272 278 332 338	-235885646880
TPT(14)	2770725077852156597	0 2 42 44 72 74 174 176 210 212 240 242 264 266	-186155168154
SPT(16)	2770725138083544667	0 12 70 82 130 132 180 202 210 232 280 282 330 342 400 412	-125923780084
TPT(14)	2770725161341298039	0 2 60 62 72 74 90 92 168 170 222 224 258 260	-102666026712
STPT(10)	2770725180587486789	0 2 42 44 60 62 78 80 120 122	-83419837962
SPT(16)	2770725306543306943	0 10 18 28 48 70 76 106 150 180 186 208 228 238 246 256	42535982192
SPT(16)	2770725379348015433	0 44 128 144 158 170 204 218 276 290 324 336 350 366 450 494	115340690682
SPT(16)	2770725561417788389	0 4 30 34 42 60 88 108 154 174 202 220 228 232 258 262	297410463638
STPT(10)	2770725589359630599	0 2 48 50 90 92 132 134 180 182	325352305848
STPT(10)	2770725972557886767	0 2 30 32 72 74 114 116 144 146	708550562016