Prime p₀= 732299859852917357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 52 2 16 2 190 2 16 2 (?)
a_n: 0 2 84 86 150 152 204 206 222 224 414 416 432 434
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: 434
Found by: Theadalus
db: batch=73, k=14, 82 64 52 16 190 16

SPT(16)	732299141127962747	0 6 96 110 204 216 260 314 336 390 434 446 540 554 644 650	-718724954610
STPT(10)	732299446355385911	0 2 36 38 78 80 120 122 156 158	-413497531446
SPT(16)	732299455442300477	0 14 36 84 90 92 96 162 194 260 264 266 272 320 342 356	-404410616880
STPT(10)	732299469122528759	0 2 48 50 90 92 132 134 180 182	-390730388598
SPT(16)	732299624245798327	0 36 96 124 166 190 210 246 250 286 306 330 372 400 460 496	-235607119030
STPT(10)	732299835088171289	0 2 18 20 30 32 42 44 60 62	-24764746068
SPT(16)	732300310472904863	0 20 48 68 78 110 144 200 204 260 294 326 336 356 384 404	450619987506
STPT(10)	732300412329438761	0 2 6 8 48 50 90 92 96 98	552476521404
STPT(10)	732301358736733571	0 2 30 32 60 62 90 92 120 122	1498883816214
SPT(16)	732301628596763723	0 66 86 120 150 164 198 224 270 296 330 344 374 408 428 494	1768743846366
STPT(10)	732301671616442957	0 2 30 32 42 44 54 56 84 86	1811763525600