Prime p₀= 2599642802824603091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 166 2 322 2 94 2 100 2 10 2 (?)
a_n: 0 2 48 50 216 218 540 542 636 638 738 740 750 752
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: 752
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 46 166 322 94 100 10

SPT(16)	2599641289641659789	0 12 18 32 102 110 122 170 192 240 252 260 330 344 350 362	-1513182943302
STPT(10)	2599641365387583071	0 2 36 38 78 80 120 122 156 158	-1437437020020
SPT(16)	2599641648551560643	0 20 84 98 104 120 158 164 270 276 314 330 336 350 414 434	-1154273042448
SPT(16)	2599641651008057653	0 54 64 70 96 114 126 130 264 268 280 298 324 330 340 394	-1151816545438
SPT(16)	2599641841702759037	0 6 42 72 90 122 150 174 332 356 384 416 434 464 500 506	-961121844054
SPT(16)	2599642578912604171	0 16 18 58 90 108 112 150 178 216 220 238 270 310 312 328	-223911998920
TPT(14)	2599643228755397639	0 2 12 14 150 152 192 194 222 224 258 260 378 380	425930794548
STPT(10)	2599643460257689007	0 2 84 86 162 164 240 242 324 326	657433085916
SPT(16)	2599643486188798223	0 14 20 26 44 48 114 116 168 170 236 240 258 264 270 284	683364195132
STPT(10)	2599643744099892311	0 2 6 8 48 50 90 92 96 98	941275289220
SPT(16)	2599644242502739891	0 18 78 90 138 160 180 186 310 316 336 358 406 418 478 496	1439678136800