Prime p₀= 956980179893808671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 82 2 16 2 16 2 148 2 (?)
a_n: 0 2 18 20 66 68 150 152 168 170 186 188 336 338
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: Spectrum
db: batch=76, k=14, 16 46 82 16 16 148

SPT(16)	956978823461123717	0 30 56 104 132 170 200 206 210 216 246 284 312 360 386 416	-1356432684954
TPT(14)	956979064983759071	0 2 156 158 198 200 216 218 288 290 300 302 336 338	-1114910049600
SPT(16)	956979517579312933	0 6 28 30 46 60 76 96 118 138 154 168 184 186 208 214	-662314495738
SPT(16)	956979674505226651	0 12 30 66 118 160 178 196 222 240 258 300 352 388 406 418	-505388582020
STPT(10)	956979813457187591	0 2 30 32 78 80 126 128 156 158	-366436621080
SPT(16)	956980078381446557	0 42 72 114 120 146 204 224 252 272 330 356 362 404 434 476	-101512362114
STPT(10)	956980521032077481	0 2 30 32 60 62 90 92 120 122	341138268810
STPT(10)	956980856464075097	0 2 12 14 72 74 132 134 144 146	676570266426
TPT(14)	956981190743351129	0 2 72 74 108 110 168 170 180 182 222 224 270 272	1010849542458
STPT(10)	956981520756974231	0 2 30 32 78 80 126 128 156 158	1340863165560
TPT(14)	956981582673394217	0 2 30 32 42 44 60 62 120 122 162 164 174 176	1402779585546