Prime p₀= 2235227760327020267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 10 2 34 2 70 2 58 2 (?)
a_n: 0 2 30 32 132 134 144 146 180 182 252 254 312 314
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: 314
Found by: Penguin
db: batch=81, k=14, 28 100 10 34 70 58

STPT(10)	2235226385103648059	0 2 12 14 30 32 48 50 60 62	-1375223372208
SPT(16)	2235226925712243581	0 18 48 86 138 140 150 152 186 188 198 200 252 290 320 338	-834614776686
SPT(16)	2235227023821576623	0 18 44 56 60 80 90 98 216 224 234 254 258 270 296 314	-736505443644
STPT(10)	2235227091472693499	0 2 18 20 30 32 42 44 60 62	-668854326768
SPT(16)	2235227114697806741	0 56 72 78 80 92 116 120 158 162 186 198 200 206 222 278	-645629213526
SPT(16)	2235227579267582681	0 42 56 108 126 152 162 176 222 236 246 272 290 342 356 398	-181059437586
STPT(10)	2235227830308704219	0 2 18 20 30 32 42 44 60 62	69981683952
STPT(10)	2235228517901294087	0 2 12 14 42 44 72 74 84 86	757574273820
STPT(10)	2235229076368733447	0 2 30 32 72 74 114 116 144 146	1316041713180
SPT(16)	2235229250321873209	0 24 54 132 144 154 174 192 232 250 270 280 292 370 400 424	1489994852942
TPT(14)	2235229630891993709	0 2 30 32 138 140 150 152 240 242 372 374 408 410	1870564973442