Prime p₀= 1117658280575491979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 76 2 16 2 22 2 34 2 (?)
a_n: 0 2 120 122 132 134 210 212 228 230 252 254 288 290
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: 290
Found by: stoneageman
db: batch=76, k=14, 118 10 76 16 22 34

STPT(10)	1117657343998681259	0 2 48 50 90 92 132 134 180 182	-936576810720
SPT(16)	1117657503960926603	0 6 20 36 54 126 134 168 176 210 218 290 308 324 338 344	-776614565376
SPT(18)	1117657613699495741	0 6 8 32 36 42 48 78 120 158 200 230 236 242 246 270 272 278	-666875996238
STPT(10)	1117658074831264661	0 2 30 32 78 80 126 128 156 158	-205744227318
TPT(14)	1117658181785744117	0 2 54 56 72 74 114 116 120 122 180 182 192 194	-98789747862
SPT(16)	1117658253061296293	0 48 54 86 90 98 114 156 158 200 216 224 228 260 266 314	-27514195686
SPT(16)	1117658389826465261	0 92 98 176 188 218 246 318 410 482 510 540 552 630 636 728	109250973282
STPT(12)	1117658412438692909	0 2 30 32 78 80 120 122 168 170 198 200	131863200930
SPT(16)	1117658548493352247	0 12 30 54 114 132 142 180 184 222 232 250 310 334 352 364	267917860268
STPT(10)	1117658810637696527	0 2 54 56 132 134 210 212 264 266	530062204548
SPT(16)	1117659237373774373	0 14 48 50 80 158 188 234 260 306 336 414 444 446 480 494	956798282394