Prime p₀= 2045800941266777087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 10 2 58 2 16 2 10 2 (?)
a_n: 0 2 30 32 150 152 162 164 222 224 240 242 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 28 118 10 58 16 10

TPT(14)	2045799616983161069	0 2 42 44 60 62 90 92 120 122 162 164 252 254	-1324283616018
SPT(16)	2045799719987299313	0 30 56 60 78 114 116 120 164 168 170 206 224 228 254 284	-1221279477774
SPT(16)	2045799731991882221	0 36 98 116 132 146 150 158 210 218 222 236 252 270 332 368	-1209274894866
SPT(16)	2045799789390029287	0 10 16 30 54 66 96 114 136 154 184 196 220 234 240 250	-1151876747800
SPT(18)	2045799889443448657	0 24 46 52 142 150 154 214 220 246 252 312 316 324 414 420 442 466	-1051823328430
TPT(14)	2045800487699034851	0 2 156 158 180 182 210 212 276 278 330 332 420 422	-453567742236
SPT(16)	2045801796036598891	0 12 22 40 46 100 118 142 186 210 228 282 288 306 316 328	854769821804
SPT(16)	2045801991841707559	0 12 54 144 172 202 214 220 252 258 270 300 328 418 460 472	1050574930472
SPT(16)	2045802098640282847	0 30 60 100 120 166 184 210 226 252 270 316 336 376 406 436	1157373505760
SPT(16)	2045802181162585423	0 18 48 58 78 88 90 100 144 154 156 166 186 196 226 244	1239895808336
TPT(14)	2045802244838661737	0 2 24 26 30 32 114 116 162 164 180 182 204 206	1303571884650