Prime p₀= 2079709184329337921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 52 2 64 2 10 2 70 2 (?)
a_n: 0 2 90 92 126 128 180 182 246 248 258 260 330 332
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: 332
Found by: ChUcK
db: batch=80, k=14, 88 34 52 64 10 70

SPT(16)	2079708619363975979	0 38 98 218 242 288 318 330 332 344 374 420 444 564 624 662	-564965361942
SPT(16)	2079708647161744813	0 34 40 54 60 70 90 114 214 238 258 268 274 288 294 328	-537167593108
SPT(16)	2079708751585546021	0 6 28 90 118 132 150 162 166 178 196 210 238 300 322 328	-432743791900
SPT(16)	2079708965199345133	0 78 108 118 136 148 156 174 220 238 246 258 276 286 316 394	-219129992788
SPT(16)	2079708968379585967	0 30 36 120 180 196 250 282 340 372 426 442 502 586 592 622	-215949751954
TPT(14)	2079709090029911411	0 2 66 68 78 80 126 128 156 158 168 170 198 200	-94299426510
SPT(16)	2079709335769156327	0 22 42 46 106 112 124 126 130 132 144 150 210 214 234 256	151439818406
SPT(16)	2079709818363216803	0 8 30 108 114 144 168 194 210 236 260 290 296 374 396 404	634033878882
SPT(13)	2079709828378185131	0 6 18 60 66 120 168 216 270 276 318 330 336	644048847210
TPT(14)	2079709841042602397	0 2 12 14 30 32 114 116 144 146 210 212 270 272	656713264476
TPT(14)	2079710229784134551	0 2 36 38 156 158 168 170 198 200 240 242 270 272	1045454796630