Prime p₀= 2579436696696277907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 22 2 166 2 16 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 222 224 240 242 264 266
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: biodoc
db: batch=82, k=14, 22 4 22 166 16 22

STPT(10)	2579434667179254551	0 2 6 8 18 20 30 32 36 38	-2029517023356
STPT(10)	2579434934927379119	0 2 42 44 90 92 138 140 180 182	-1761768898788
SPT(16)	2579435536024896467	0 20 24 42 50 84 92 116 150 174 182 216 224 242 246 266	-1160671381440
SPT(16)	2579435726157607217	0 14 24 132 134 150 162 164 270 272 284 300 302 410 420 434	-970538670690
SPT(16)	2579436083492818801	0 16 40 58 60 72 102 132 136 166 196 208 210 228 252 268	-613203459106
STPT(10)	2579436189973077101	0 2 6 8 18 20 30 32 36 38	-506723200806
SPT(16)	2579437109709501289	0 22 28 30 54 70 84 124 198 238 252 268 292 294 300 322	413013223382
STPT(10)	2579437707768253217	0 2 12 14 72 74 132 134 144 146	1011071975310
SPT(16)	2579437816440358187	0 6 20 32 56 62 72 86 210 224 234 240 264 276 290 296	1119744080280
SPT(16)	2579438051158887277	0 6 42 46 76 90 112 130 132 150 172 186 216 220 256 262	1354462609370
STPT(10)	2579438083290868601	0 2 6 8 48 50 90 92 96 98	1386594590694