Prime p₀= 736996664300467511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 22 2 154 2 28 2 22 2 (?)
a_n: 0 2 78 80 96 98 120 122 276 278 306 308 330 332
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: Steve Dodd
db: batch=73, k=14, 76 16 22 154 28 22

TPT(14)	736995910849568129	0 2 42 44 48 50 60 62 198 200 240 242 282 284	-753450899382
STPT(10)	736996097953044899	0 2 48 50 90 92 132 134 180 182	-566347422612
SPT(16)	736996358994988991	0 8 30 66 86 92 98 122 126 150 156 162 182 218 240 248	-305305478520
STPT(10)	736996458414407039	0 2 30 32 60 62 90 92 120 122	-205886060472
SPT(16)	736996560735735373	0 6 10 34 154 160 178 184 210 216 234 240 360 384 388 394	-103564732138
STPT(10)	736996652472148889	0 2 42 44 60 62 78 80 120 122	-11828318622
SPT(16)	736997184188899097	0 2 72 104 150 164 170 210 254 294 300 314 360 392 462 464	519888431586
STPT(10)	736997290677379001	0 2 6 8 48 50 90 92 96 98	626376911490
TPT(14)	736997320035433901	0 2 36 38 90 92 96 98 138 140 210 212 246 248	655734966390
TPT(14)	736997428698085589	0 2 150 152 168 170 210 212 222 224 270 272 378 380	764397618078
SPT(13)	736997627367683543	0 30 36 66 78 108 138 168 198 210 240 246 276	963067216032