Prime p₀= 2048676043372758197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 4 2 70 2 88 2 70 2 (?)
a_n: 0 2 12 14 24 26 30 32 102 104 192 194 264 266
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: 266
Found by: Josemi
db: batch=80, k=14, 10 10 4 70 88 70

TPT(14)	2048674797529514741	0 2 30 32 66 68 96 98 186 188 240 242 276 278	-1245843243456
SPT(16)	2048674850013434179	0 28 52 78 162 180 192 250 300 358 370 388 472 498 522 550	-1193359324018
SPT(16)	2048674887557033821	0 16 18 42 46 60 82 130 138 186 208 222 226 250 252 268	-1155815724376
SPT(16)	2048675395459680901	0 6 16 36 58 70 156 160 168 172 258 270 292 312 322 328	-647913077296
SPT(16)	2048675903708334323	0 20 24 44 90 98 104 114 140 150 156 164 210 230 234 254	-139664423874
SPT(16)	2048675977636726897	0 30 76 96 130 160 166 172 210 216 222 252 286 306 352 382	-65736031300
SPT(16)	2048676132045439489	0 60 90 150 250 280 312 334 348 370 402 432 532 592 622 682	88672681292
SPT(16)	2048676175529164847	0 2 26 30 42 44 54 72 134 152 162 164 176 180 204 206	132156406650
SPT(16)	2048676692367788303	0 30 36 74 80 98 104 164 210 270 276 294 300 338 344 374	648995030106
TPT(14)	2048676716918479157	0 2 24 26 54 56 144 146 180 182 240 242 264 266	673545720960
TPT(14)	2048676753543927797	0 2 24 26 54 56 90 92 120 122 132 134 162 164	710171169600