Prime p₀= 2319592038005493497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 40 2 106 2 112 2 148 2 (?)
a_n: 0 2 24 26 30 32 72 74 180 182 294 296 444 446
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: 446
Found by: vinn@[CNT]
db: batch=81, k=14, 22 4 40 106 112 148

TPT(14)	2319589091870126759	0 2 42 44 48 50 102 104 168 170 270 272 300 302	-2946135366738
SPT(16)	2319589854824075947	0 60 64 66 112 126 156 204 262 310 340 354 400 402 406 466	-2183181417550
SPT(16)	2319590536805212091	0 2 50 56 152 156 170 192 266 288 302 306 402 408 456 458	-1501200281406
SPT(16)	2319590746908214151	0 60 92 120 126 150 162 170 198 206 218 242 248 276 308 368	-1291097279346
STPT(10)	2319591015833606129	0 2 18 20 30 32 42 44 60 62	-1022171887368
SPT(16)	2319591365054222951	0 80 126 156 170 216 230 240 242 252 266 312 326 356 402 482	-672951270546
SPT(16)	2319592064964774881	0 2 12 56 68 98 116 140 378 402 420 450 462 506 516 518	26959281384
STPT(10)	2319592070171923499	0 2 30 32 120 122 210 212 240 242	32166430002
SPT(16)	2319592155595092877	0 6 46 66 100 126 132 142 144 154 160 186 220 240 280 286	117589599380
STPT(10)	2319592462769183351	0 2 36 38 78 80 120 122 156 158	424763689854
SPT(16)	2319592533486885211	0 22 46 52 70 120 156 232 276 352 388 438 456 462 486 508	495481391714