Prime p₀= 2923475798747708357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 184 2 130 2 88 2 28 2 (?)
a_n: 0 2 24 26 84 86 270 272 402 404 492 494 522 524
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: [SG-2W]Kurzer
db: batch=82, k=14, 22 58 184 130 88 28

SPT(16)	2923474824381225031	0 12 16 30 40 46 58 66 142 150 162 168 178 192 196 208	-974366483326
SPT(16)	2923474842473658953	0 36 74 84 86 120 126 128 186 188 194 228 230 240 278 314	-956274049404
STPT(10)	2923474968131987411	0 2 6 8 18 20 30 32 36 38	-830615720946
STPT(10)	2923474968953733791	0 2 36 38 78 80 120 122 156 158	-829793974566
SPT(16)	2923475068053750163	0 16 18 78 120 160 240 246 310 316 396 436 478 538 540 556	-730693958194
STPT(10)	2923475756568175481	0 2 30 32 78 80 126 128 156 158	-42179532876
STPT(10)	2923476481270867187	0 2 30 32 42 44 54 56 84 86	682523158830
STPT(10)	2923477118407594127	0 2 30 32 42 44 54 56 84 86	1319659885770
SPT(16)	2923477696065561293	0 14 60 96 98 158 168 176 228 236 246 306 308 344 390 404	1897317852936
STPT(10)	2923477783478409107	0 2 30 32 42 44 54 56 84 86	1984730700750
SPT(16)	2923477897233001543	0 4 10 18 40 66 78 108 166 196 208 234 256 264 270 274	2098485293186