Prime p₀= 2785430489619158399 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 10 2 70 2 28 2 34 2 (?)
a_n: 0 2 12 14 18 20 30 32 102 104 132 134 168 170
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: 170
Found by: JohnMD
db: batch=82, k=14, 10 4 10 70 28 34

STPT(10)	2785428682034533349	0 2 42 44 90 92 138 140 180 182	-1807584625050
SPT(13)	2785428953375291387	0 6 24 36 84 90 120 150 156 204 216 234 240	-1536243867012
SPT(16)	2785429029293046893	0 18 26 38 96 144 158 168 236 246 260 308 366 378 386 404	-1460326111506
SPT(16)	2785429729786797787	0 12 30 42 46 52 94 96 100 102 144 150 154 166 184 196	-759832360612
SPT(16)	2785429915576137629	0 20 24 38 50 74 78 104 144 170 174 198 210 224 228 248	-574043020770
TPT(14)	2785430156374904039	0 2 42 44 78 80 138 140 180 182 210 212 222 224	-333244254360
SPT(16)	2785430564891009291	0 2 18 32 92 120 156 158 240 242 278 306 366 380 396 398	75271850892
SPT(16)	2785430817156166303	0 24 34 46 94 144 148 178 246 276 280 330 378 390 400 424	327537007904
STPT(10)	2785430832598757219	0 2 30 32 60 62 90 92 120 122	342979598820
STPT(10)	2785431067379800319	0 2 18 20 30 32 42 44 60 62	577760641920
SPT(16)	2785431255444557899	0 12 34 78 84 112 132 138 154 160 180 208 214 258 280 292	765825399500