Prime p₀= 2786289420819260201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 88 2 22 2 16 2 106 2 28 2 (?)
a_n: 0 2 66 68 156 158 180 182 198 200 306 308 336 338
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: 338
Found by: fzs600
db: batch=82, k=14, 64 88 22 16 106 28

SPT(16)	2786287596870662879	0 24 60 102 108 144 164 168 194 198 218 254 260 302 338 362	-1823948597322
STPT(10)	2786287647577890917	0 2 24 26 42 44 60 62 84 86	-1773241369284
SPT(16)	2786287661833909579	0 40 42 58 78 100 114 142 180 208 222 244 264 280 282 322	-1758985350622
SPT(16)	2786287829031199547	0 26 32 54 62 110 126 152 174 200 216 264 272 294 300 326	-1591788060654
STPT(10)	2786288759832438557	0 2 54 56 72 74 90 92 144 146	-660986821644
STPT(12)	2786289017500852397	0 2 30 32 132 134 240 242 342 344 372 374	-403318407804
STPT(10)	2786289603732658547	0 2 30 32 42 44 54 56 84 86	182913398346
SPT(16)	2786289725833763969	0 2 44 68 144 152 198 200 222 224 270 278 354 378 420 422	305014503768
STPT(10)	2786289882480074021	0 2 6 8 18 20 30 32 36 38	461660813820
SPT(16)	2786289975816529003	0 64 66 108 148 156 184 196 198 210 238 246 286 328 330 394	554997268802
SPT(16)	2786290413260700971	0 18 48 50 92 102 146 150 158 162 206 216 258 260 290 308	992441440770