Prime p₀= 2162555863081950599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 130 2 46 2 28 2 232 2 28 2 (?)
a_n: 0 2 48 50 180 182 228 230 258 260 492 494 522 524
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: 524
Found by: Landjunge
db: batch=81, k=14, 46 130 46 28 232 28

STPT(10)	2162554904877237317	0 2 42 44 72 74 102 104 144 146	-958204713282
SPT(16)	2162555130506500867	0 42 82 106 120 142 186 246 250 310 354 376 390 414 454 496	-732575449732
SPT(16)	2162555283673418099	0 8 14 30 42 48 72 90 92 110 134 140 152 168 174 182	-579408532500
SPT(16)	2162555304590194187	0 14 32 36 44 90 144 186 200 242 296 342 350 354 372 386	-558491756412
STPT(10)	2162555643900254567	0 2 30 32 42 44 54 56 84 86	-219181696032
SPT(16)	2162555684256766717	0 10 36 70 94 106 136 154 156 174 204 216 240 274 300 310	-178825183882
STPT(10)	2162556282082913501	0 2 30 32 180 182 330 332 360 362	419000962902
SPT(16)	2162556368107829521	0 42 70 112 120 126 136 142 210 216 226 232 240 282 310 352	505025878922
SPT(16)	2162556850820757101	0 2 36 42 68 78 120 240 278 398 440 450 476 482 516 518	987738806502
SPT(16)	2162556856557384187	0 4 10 60 66 106 160 186 220 246 300 340 346 396 402 406	993475433588
SPT(16)	2162557482521073851	0 2 36 66 80 96 126 132 170 176 206 222 236 266 300 302	1619439123252