Prime p₀= 2850599439911183417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 160 2 88 2 10 2 64 2 (?)
a_n: 0 2 84 86 90 92 252 254 342 344 354 356 420 422
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: 422
Found by: Odd-Rod
db: batch=82, k=14, 82 4 160 88 10 64

SPT(16)	2850598548265894219	0 10 22 34 54 70 72 112 120 160 162 178 198 210 222 232	-891645289198
SPT(16)	2850598571388057167	0 14 32 54 60 84 104 110 144 150 170 194 200 222 240 254	-868523126250
STPT(12)	2850598636718441039	0 2 60 62 90 92 138 140 168 170 228 230	-803192742378
STPT(10)	2850598878312879509	0 2 12 14 30 32 48 50 60 62	-561598303908
STPT(10)	2850598979567677241	0 2 78 80 138 140 198 200 276 278	-460343506176
SPT(13)	2850599140191197711	0 12 18 42 60 78 120 162 180 198 222 228 240	-299719985706
SPT(16)	2850599653404875447	0 20 36 66 80 110 140 150 176 186 216 246 260 290 306 326	213493692030
STPT(10)	2850599742771156239	0 2 42 44 90 92 138 140 180 182	302859972822
SPT(16)	2850599756241381073	0 18 130 138 144 150 156 196 198 238 244 250 256 264 376 394	316330197656
STPT(10)	2850600504011511707	0 2 30 32 42 44 54 56 84 86	1064100328290
STPT(10)	2850600650761699679	0 2 18 20 30 32 42 44 60 62	1210850516262