Prime p₀= 2759719243753129829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 10 2 4 2 178 2 22 2 (?)
a_n: 0 2 108 110 120 122 132 134 138 140 318 320 342 344
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: 344
Found by: JayPi
db: batch=82, k=14, 106 10 10 4 178 22

SPT(16)	2759717964018445691	0 8 42 120 140 150 162 218 240 296 308 318 338 416 450 458	-1279734684138
STPT(12)	2759718439783552319	0 2 18 20 42 44 48 50 72 74 90 92	-803969577510
SPT(16)	2759718653540921531	0 6 30 60 90 92 162 252 260 350 420 422 452 482 506 512	-590212208298
STPT(12)	2759718749477564519	0 2 12 14 72 74 78 80 138 140 150 152	-494275565310
TPT(14)	2759718834480397061	0 2 30 32 126 128 180 182 228 230 270 272 306 308	-409272732768
TPT(14)	2759719055311104827	0 2 24 26 54 56 180 182 204 206 252 254 264 266	-188442025002
STPT(12)	2759719264249747619	0 2 30 32 42 44 138 140 150 152 180 182	20496617790
STPT(10)	2759719718344818989	0 2 48 50 90 92 132 134 180 182	474591689160
STPT(10)	2759719900579138841	0 2 36 38 78 80 120 122 156 158	656826009012
SPT(16)	2759720086949616647	0 110 126 132 146 156 192 266 306 380 416 426 440 446 462 572	843196486818
SPT(16)	2759720094792981667	0 42 54 76 90 96 102 114 172 184 190 196 210 232 244 286	851039851838