Prime p₀= 2049874216321575041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 46 2 130 2 16 2 28 2 (?)
a_n: 0 2 126 128 138 140 186 188 318 320 336 338 366 368
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: 368
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 124 10 46 130 16 28

TPT(14)	2049871681969370687	0 2 114 116 162 164 204 206 240 242 414 416 420 422	-2534352204354
TPT(14)	2049871710361800131	0 2 48 50 120 122 186 188 378 380 396 398 420 422	-2505959774910
STPT(10)	2049871717344210647	0 2 30 32 42 44 54 56 84 86	-2498977364394
STPT(10)	2049873257625469877	0 2 12 14 42 44 72 74 84 86	-958696105164
SPT(16)	2049873349343986643	0 8 26 36 66 78 96 116 120 140 158 170 200 210 228 236	-866977588398
SPT(16)	2049873598936752019	0 4 28 72 78 88 114 120 292 298 324 334 340 384 408 412	-617384823022
SPT(16)	2049874352462946257	0 20 30 36 72 206 212 252 260 300 306 440 476 482 492 512	136141371216
SPT(18)	2049874356662336609	0 18 38 44 84 132 158 168 194 228 254 264 290 338 378 384 404 422	140340761568
SPT(16)	2049874547809117567	0 24 42 96 172 226 234 304 312 382 390 444 520 574 592 616	331487542526
STPT(10)	2049875582584694231	0 2 6 8 48 50 90 92 96 98	1366263119190
STPT(10)	2049875624132427989	0 2 18 20 60 62 102 104 120 122	1407810852948