Prime p₀= 2082515254323657497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 40 2 124 2 22 2 (?)
a_n: 0 2 12 14 24 26 42 44 84 86 210 212 234 236
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: 236
Found by: Landjunge
db: batch=80, k=14, 10 10 16 40 124 22

TPT(14)	2082513388825039241	0 2 30 32 66 68 78 80 126 128 156 158 288 290	-1865498618256
SPT(16)	2082513620149966067	0 60 72 182 210 212 234 240 254 260 282 284 312 422 434 494	-1634173691430
SPT(16)	2082513685146539951	0 26 38 48 78 108 150 182 186 218 260 290 320 330 342 368	-1569177117546
SPT(16)	2082514369990257743	0 14 18 30 60 74 80 128 180 228 234 248 278 290 294 308	-884333399754
STPT(10)	2082515021548185611	0 2 30 32 78 80 126 128 156 158	-232775471886
STPT(10)	2082515231720897261	0 2 78 80 138 140 198 200 276 278	-22602760236
STPT(10)	2082515599439875511	0 2 6 8 18 20 30 32 36 38	345116218014
SPT(16)	2082515816402658713	0 20 24 26 44 140 146 174 230 258 264 360 378 380 384 404	562079001216
SPT(16)	2082516002153999953	0 10 16 24 34 46 84 90 154 160 198 210 220 228 234 244	747830342456
STPT(10)	2082516173549913107	0 2 30 32 42 44 54 56 84 86	919226255610
STPT(10)	2082516224489634251	0 2 36 38 108 110 180 182 216 218	970165976754