Prime p₀= 2944744556949376787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 76 2 28 2 40 2 106 2 (?)
a_n: 0 2 84 86 132 134 210 212 240 242 282 284 390 392
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: [SG-FC] hl
db: batch=82, k=14, 82 46 76 28 40 106

TPT(14)	2944744114989870209	0 2 18 20 120 122 132 134 168 170 210 212 258 260	-441959506578
TPT(14)	2944744293225905087	0 2 264 266 360 362 372 374 390 392 414 416 420 422	-263723471700
SPT(16)	2944744297891737431	0 26 30 32 60 80 150 210 212 272 342 362 390 392 396 422	-259057639356
SPT(16)	2944744327310699071	0 28 42 46 60 78 82 120 148 186 190 208 222 226 240 268	-229638677716
SPT(16)	2944744352930073293	0 80 84 96 98 120 138 146 168 176 194 216 218 230 234 314	-204019303494
SPT(16)	2944744417093864571	0 42 132 162 186 218 242 252 356 366 390 422 446 476 566 608	-139855512216
SPT(16)	2944744807962034901	0 38 48 62 66 96 150 168 290 308 362 392 396 410 420 458	251012658114
STPT(10)	2944744913190936377	0 2 30 32 42 44 54 56 84 86	356241559590
SPT(16)	2944745069362974481	0 18 28 60 66 70 130 136 192 198 258 262 268 300 310 328	512413597694
SPT(16)	2944746137971830553	0 54 58 60 64 70 126 184 210 268 324 330 334 336 340 394	1581022453766
SPT(16)	2944746169597276651	0 28 52 76 78 96 126 148 150 172 202 220 222 246 270 298	1612647899864