Prime p₀= 794119123449379619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 40 2 16 2 22 2 4 2 (?)
a_n: 0 2 12 14 48 50 90 92 108 110 132 134 138 140
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: 140
Found by: [SG]FX
db: batch=73, k=14, 10 34 40 16 22 4

SPT(16)	794118013551747673	0 28 34 48 150 166 180 204 220 244 258 274 376 390 396 424	-1109897631946
TPT(14)	794118447188513387	0 2 54 56 150 152 174 176 204 206 264 266 330 332	-676260866232
SPT(16)	794118723340282577	0 6 12 14 96 122 152 182 234 264 294 320 402 404 410 416	-400109097042
SPT(16)	794118933245187023	0 14 90 96 138 158 168 200 204 236 246 266 308 314 390 404	-190204192596
STPT(10)	794119004164918259	0 2 42 44 60 62 78 80 120 122	-119284461360
SPT(16)	794119112139280397	0 2 12 44 74 110 140 164 240 264 294 330 360 392 402 404	-11310099222
SPT(16)	794119319647646051	0 2 42 48 80 120 126 132 206 212 218 258 290 296 336 338	196198266432
SPT(16)	794119330880109043	0 18 66 124 148 150 154 160 264 270 274 276 300 358 406 424	207430729424
STPT(12)	794119366564087997	0 2 12 14 24 26 30 32 42 44 54 56	243114708378
STPT(10)	794119828222704197	0 2 30 32 42 44 54 56 84 86	704773324578
SPT(16)	794120542166749531	0 6 30 108 142 160 166 180 298 312 318 336 370 448 472 478	1418717369912