Prime p₀= 1568423394541183679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 52 2 148 2 16 2 70 2 (?)
a_n: 0 2 42 44 48 50 102 104 252 254 270 272 342 344
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: Spectrum
db: batch=78, k=14, 40 4 52 148 16 70

STPT(10)	1568421700241115491	0 2 30 32 78 80 126 128 156 158	-1694300068188
SPT(20)	1568421883042397681	0 6 110 146 156 158 278 336 338 380 396 438 440 498 618 620 630 666 770 776	-1511498785998
TPT(14)	1568421997092763529	0 2 12 14 78 80 90 92 138 140 192 194 222 224	-1397448420150
TPT(14)	1568422024110951617	0 2 12 14 24 26 60 62 150 152 192 194 210 212	-1370430232062
SPT(16)	1568422225787272777	0 6 22 36 82 94 120 124 132 136 162 174 220 234 250 256	-1168753910902
SPT(16)	1568422320595256977	0 12 70 130 184 186 204 232 264 292 310 312 366 426 484 496	-1073945926702
STPT(10)	1568423456977950359	0 2 48 50 90 92 132 134 180 182	62436766680
SPT(16)	1568423527332732923	0 138 140 164 186 210 224 234 350 360 374 398 420 444 446 584	132791549244
SPT(16)	1568423544839922853	0 10 60 64 84 106 124 130 144 150 168 190 210 214 264 274	150298739174
TPT(14)	1568424252116237309	0 2 48 50 78 80 162 164 222 224 360 362 390 392	857575053630
STPT(10)	1568424398853288701	0 2 6 8 48 50 90 92 96 98	1004312105022