Prime p₀= 2340291627180062261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 70 2 64 2 100 2 16 2 (?)
a_n: 0 2 60 62 138 140 210 212 276 278 378 380 396 398
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: 398
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 76 70 64 100 16

STPT(12)	2340289354563945017	0 2 30 32 60 62 72 74 102 104 132 134	-2272616117244
STPT(10)	2340289394195244389	0 2 42 44 60 62 78 80 120 122	-2232984817872
STPT(10)	2340289639301527559	0 2 48 50 60 62 72 74 120 122	-1987878534702
SPT(16)	2340289659952703369	0 14 80 92 98 150 158 180 182 204 212 264 270 282 348 362	-1967227358892
SPT(16)	2340290948530078403	0 38 60 96 138 156 164 230 234 300 308 326 368 404 426 464	-678649983858
STPT(10)	2340291142184638337	0 2 30 32 60 62 90 92 120 122	-484995423924
SPT(16)	2340292156903177853	0 48 68 84 134 158 204 206 288 290 336 360 410 426 446 494	529723115592
STPT(10)	2340292423653599711	0 2 6 8 18 20 30 32 36 38	796473537450
SPT(16)	2340292675785864509	0 20 30 42 68 72 150 164 198 212 290 294 320 332 342 362	1048605802248
STPT(10)	2340293260475514959	0 2 18 20 30 32 42 44 60 62	1633295452698
SPT(16)	2340293588442405691	0 40 76 78 96 118 130 132 196 198 210 232 250 252 288 328	1961262343430