Prime p₀= 1856329999121193131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 28 2 40 2 106 2 52 2 (?)
a_n: 0 2 126 128 156 158 186 188 228 230 336 338 390 392
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: 392
Found by: TheKillerChicken
db: batch=79, k=14, 124 28 28 40 106 52

STPT(10)	1856329119111738377	0 2 30 32 120 122 210 212 240 242	-880009454754
STPT(10)	1856329362290791637	0 2 30 32 42 44 54 56 84 86	-636830401494
STPT(10)	1856329530310345427	0 2 30 32 42 44 54 56 84 86	-468810847704
STPT(12)	1856329664620532999	0 2 42 44 60 62 102 104 120 122 162 164	-334500660132
STPT(10)	1856329676858740841	0 2 6 8 18 20 30 32 36 38	-322262452290
STPT(10)	1856329905725637227	0 2 12 14 42 44 72 74 84 86	-93395555904
STPT(10)	1856330160744667589	0 2 42 44 60 62 78 80 120 122	161623474458
STPT(10)	1856330500802085359	0 2 18 20 30 32 42 44 60 62	501680892228
STPT(10)	1856330629084557047	0 2 90 92 102 104 114 116 204 206	629963363916
STPT(10)	1856330891620385207	0 2 24 26 42 44 60 62 84 86	892499192076
TPT(14)	1856330935992476549	0 2 60 62 72 74 90 92 102 104 132 134 180 182	936871283418