Prime p₀= 2296352282437294559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 10 2 10 2 106 2 28 2 (?)
a_n: 0 2 30 32 78 80 90 92 102 104 210 212 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 28 46 10 10 106 28

SPT(16)	2296350159822984197	0 20 30 32 62 66 80 102 104 126 140 144 174 176 186 206	-2122614310362
SPT(16)	2296350212100405647	0 30 36 42 62 162 180 236 240 296 314 414 434 440 446 476	-2070336888912
STPT(12)	2296351236000616409	0 2 30 32 60 62 138 140 168 170 198 200	-1046436678150
SPT(16)	2296351289818280977	0 100 130 142 154 204 244 252 274 282 322 372 384 396 426 526	-992619013582
SPT(16)	2296351688534433007	0 24 46 52 64 90 132 154 192 214 256 282 294 300 322 346	-593902861552
SPT(16)	2296352130103381367	0 6 14 24 62 90 96 162 194 260 266 294 332 342 350 356	-152333913192
STPT(10)	2296352303459996609	0 2 42 44 60 62 78 80 120 122	21022702050
SPT(16)	2296352321297792911	0 6 30 60 72 82 108 118 150 160 186 196 208 238 262 268	38860498352
STPT(10)	2296352792598236147	0 2 12 14 42 44 72 74 84 86	510160941588
SPT(16)	2296353092195217619	0 12 54 100 132 148 154 204 208 258 264 280 312 358 400 412	809757923060
SPT(16)	2296353609218065093	0 36 46 118 120 168 246 264 280 298 376 424 426 498 508 544	1326780770534