Prime p₀= 867668499453424649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 46 2 40 2 46 2 22 2 (?)
a_n: 0 2 12 14 30 32 78 80 120 122 168 170 192 194
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: 194
Found by: Jeff17
db: batch=73, k=14, 10 16 46 40 46 22

TPT(16)	867667566665316647	0 2 42 44 72 74 180 182 234 236 354 356 360 362 390 392	-932788108002
STPT(10)	867667576367682887	0 2 30 32 42 44 54 56 84 86	-923085741762
TPT(14)	867667819079619401	0 2 18 20 138 140 156 158 180 182 186 188 240 242	-680373805248
STPT(10)	867668100190791167	0 2 30 32 72 74 114 116 144 146	-399262633482
STPT(12)	867668178549079877	0 2 12 14 30 32 72 74 90 92 102 104	-320904344772
STPT(10)	867668187744115697	0 2 30 32 60 62 90 92 120 122	-311709308952
STPT(10)	867669014916308489	0 2 78 80 150 152 222 224 300 302	515462883840
STPT(10)	867669113385377111	0 2 6 8 48 50 90 92 96 98	613931952462
TPT(14)	867669137357632199	0 2 168 170 300 302 342 344 462 464 468 470 498 500	637904207550
SPT(16)	867669175882801163	0 6 26 56 60 110 126 204 236 314 330 380 384 414 434 440	676429376514
SPT(16)	867669710025189959	0 20 72 84 150 158 174 180 242 248 264 272 338 350 402 422	1210571765310