Prime p₀= 1874213438370864299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 46 2 10 2 16 2 10 2 (?)
a_n: 0 2 18 20 42 44 90 92 102 104 120 122 132 134
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: 134
Found by: [AF>WildWildWest] RLDF
db: batch=79, k=14, 16 22 46 10 16 10

STPT(10)	1874212997979981467	0 2 54 56 72 74 90 92 144 146	-440390882832
STPT(10)	1874213115553804757	0 2 30 32 42 44 54 56 84 86	-322817059542
STPT(10)	1874213188088493557	0 2 30 32 42 44 54 56 84 86	-250282370742
SPT(16)	1874213243528685173	0 50 56 86 90 104 144 156 218 230 270 284 288 318 324 374	-194842179126
SPT(16)	1874213268653274737	0 2 30 90 110 116 180 212 294 326 390 396 416 476 504 506	-169717589562
SPT(16)	1874213386532471197	0 10 12 24 52 54 82 90 184 192 220 222 250 262 264 274	-51838393102
SPT(16)	1874213504243432543	0 14 38 80 90 104 120 164 174 218 234 248 258 300 324 338	65872568244
STPT(10)	1874213717082427937	0 2 60 62 72 74 84 86 144 146	278711563638
TPT(14)	1874214295960723307	0 2 24 26 54 56 84 86 90 92 180 182 222 224	857589859008
STPT(10)	1874214342097338251	0 2 6 8 48 50 90 92 96 98	903726473952
SPT(16)	1874214720595197583	0 16 70 96 126 150 180 184 246 250 280 304 334 360 414 430	1282224333284