Prime p₀= 999118920698440427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 88 2 34 2 58 2 40 2 (?)
a_n: 0 2 72 74 84 86 174 176 210 212 270 272 312 314
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: 314
Found by: stoneageman
db: batch=76, k=14, 70 10 88 34 58 40

SPT(16)	999118441695251321	0 56 78 96 126 152 198 210 218 230 276 302 332 350 372 428	-479003189106
SPT(16)	999118475554092931	0 16 52 78 90 108 136 192 196 252 280 298 310 336 372 388	-445144347496
STPT(10)	999118498240334081	0 2 30 32 78 80 126 128 156 158	-422458106346
SPT(16)	999118556891021471	0 32 38 56 60 66 90 98 150 158 182 188 192 210 216 248	-363807418956
SPT(16)	999118583849596451	0 38 42 62 92 108 120 138 260 278 290 306 336 356 360 398	-336848843976
SPT(13)	999118882863434873	0 60 138 144 180 198 204 210 228 264 270 348 408	-37835005554
SPT(16)	999118988653801441	0 30 72 100 118 132 138 160 180 202 208 222 240 268 310 340	67955361014
STPT(10)	999119073483226877	0 2 24 26 42 44 60 62 84 86	152784786450
STPT(10)	999119115042808391	0 2 30 32 78 80 126 128 156 158	194344367964
STPT(10)	999119178055460489	0 2 18 20 30 32 42 44 60 62	257357020062
STPT(10)	999119317023731117	0 2 30 32 42 44 54 56 84 86	396325290690