Prime p₀= 2944744067675216117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 76 2 28 2 40 2 196 2 (?)
a_n: 0 2 24 26 42 44 120 122 150 152 192 194 390 392
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: 392
Found by: matsu_pl
db: batch=82, k=14, 22 16 76 28 40 196

SPT(16)	2944742563654267399	0 22 88 90 102 112 118 132 190 204 210 220 232 234 300 322	-1504020948718
STPT(10)	2944742761796164751	0 2 36 38 78 80 120 122 156 158	-1305879051366
SPT(16)	2944742856238731971	0 12 62 68 126 132 156 218 300 362 386 392 450 456 506 518	-1211436484146
STPT(10)	2944743399821672591	0 2 6 8 18 20 30 32 36 38	-667853543526
STPT(10)	2944743580808179769	0 2 48 50 90 92 132 134 180 182	-486867036348
STPT(12)	2944743895893392009	0 2 30 32 60 62 72 74 102 104 132 134	-171781824108
TPT(14)	2944744114989870209	0 2 18 20 120 122 132 134 168 170 210 212 258 260	47314654092
TPT(14)	2944744293225905087	0 2 264 266 360 362 372 374 390 392 414 416 420 422	225550688970
SPT(16)	2944744297891737431	0 26 30 32 60 80 150 210 212 272 342 362 390 392 396 422	230216521314
SPT(16)	2944744327310699071	0 28 42 46 60 78 82 120 148 186 190 208 222 226 240 268	259635482954
SPT(16)	2944744352930073293	0 80 84 96 98 120 138 146 168 176 194 216 218 230 234 314	285254857176