Prime p₀= 2759719055311104827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 124 2 22 2 46 2 10 2 (?)
a_n: 0 2 24 26 54 56 180 182 204 206 252 254 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 22 28 124 22 46 10

SPT(16)	2759717839117907879	0 38 74 84 98 102 150 162 200 212 260 264 278 288 324 362	-1216193196948
SPT(16)	2759717964018445691	0 8 42 120 140 150 162 218 240 296 308 318 338 416 450 458	-1091292659136
STPT(12)	2759718439783552319	0 2 18 20 42 44 48 50 72 74 90 92	-615527552508
SPT(16)	2759718653540921531	0 6 30 60 90 92 162 252 260 350 420 422 452 482 506 512	-401770183296
STPT(12)	2759718749477564519	0 2 12 14 72 74 78 80 138 140 150 152	-305833540308
TPT(14)	2759718834480397061	0 2 30 32 126 128 180 182 228 230 270 272 306 308	-220830707766
TPT(14)	2759719243753129829	0 2 108 110 120 122 132 134 138 140 318 320 342 344	188442025002
STPT(12)	2759719264249747619	0 2 30 32 42 44 138 140 150 152 180 182	208938642792
STPT(10)	2759719718344818989	0 2 48 50 90 92 132 134 180 182	663033714162
STPT(10)	2759719900579138841	0 2 36 38 78 80 120 122 156 158	845268034014
SPT(16)	2759720086949616647	0 110 126 132 146 156 192 266 306 380 416 426 440 446 462 572	1031638511820