Prime p₀= 2099397756328444079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 58 2 46 2 16 2 22 2 (?)
a_n: 0 2 48 50 72 74 132 134 180 182 198 200 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 46 22 58 46 16 22

SPT(16)	2099395308658813603	0 6 18 60 84 96 130 198 226 294 328 340 364 406 418 424	-2447669630476
SPT(16)	2099395942810869181	0 10 36 70 72 112 136 160 282 306 330 370 372 406 432 442	-1813517574898
SPT(16)	2099396355638458351	0 16 18 76 90 96 126 142 156 172 202 208 222 280 282 298	-1400689985728
SPT(16)	2099396710027279627	0 30 34 112 136 144 150 172 324 346 352 360 384 462 466 496	-1046301164452
SPT(16)	2099396850771939073	0 10 76 94 106 154 168 174 190 196 210 258 270 288 354 364	-905556505006
STPT(10)	2099397072366926711	0 2 36 38 78 80 120 122 156 158	-683961517368
SPT(16)	2099397814531266397	0 4 54 96 114 156 184 186 250 252 280 322 340 382 432 436	58202822318
STPT(10)	2099397964608519767	0 2 54 56 132 134 210 212 264 266	208280075688
STPT(10)	2099397983183818451	0 2 36 38 78 80 120 122 156 158	226855374372
STPT(10)	2099398403951247977	0 2 30 32 42 44 54 56 84 86	647622803898
SPT(16)	2099398772845975919	0 48 62 68 80 174 222 248 264 290 338 432 444 450 464 512	1016517531840