Prime p₀= 1263597446400683789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 124 2 10 2 76 2 70 2 16 2 (?)
a_n: 0 2 42 44 168 170 180 182 258 260 330 332 348 350
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: 350
Found by: stoneageman
db: batch=77, k=14, 40 124 10 76 70 16

TPT(14)	1263595609840513931	0 2 18 20 78 80 120 122 216 218 330 332 378 380	-1836560169858
SPT(16)	1263596208021841231	0 16 48 66 136 156 168 180 196 208 220 240 310 328 360 376	-1238378842558
STPT(10)	1263596426090849309	0 2 18 20 30 32 42 44 60 62	-1020309834480
STPT(10)	1263596902139024819	0 2 42 44 60 62 78 80 120 122	-544261658970
SPT(16)	1263597216479691007	0 4 12 24 52 82 90 132 172 214 222 252 280 292 300 304	-229920992782
STPT(10)	1263597277298692199	0 2 42 44 90 92 138 140 180 182	-169101991590
SPT(16)	1263597496756631587	0 46 106 150 154 174 180 196 270 286 292 312 316 360 420 466	50355947798
SPT(16)	1263597556952031641	0 2 18 32 60 62 68 72 158 162 168 170 198 212 228 230	110551347852
SPT(16)	1263598737887829817	0 24 34 52 66 82 84 90 166 172 174 190 204 222 232 256	1291487146028
STPT(10)	1263599602819659401	0 2 6 8 18 20 30 32 36 38	2156418975612
SPT(16)	1263600193947751813	0 6 24 40 66 76 130 150 160 180 234 244 270 286 304 310	2747547068024