Prime p₀= 2773905707881511057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 136 2 16 2 22 2 76 2 10 2 (?)
a_n: 0 2 24 26 162 164 180 182 204 206 282 284 294 296
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: 296
Found by: JayPi
db: batch=82, k=14, 22 136 16 22 76 10

STPT(12)	2773903419224300147	0 2 30 32 114 116 120 122 204 206 234 236	-2288657210910
STPT(10)	2773903520179681991	0 2 6 8 48 50 90 92 96 98	-2187701829066
SPT(16)	2773903875510647669	0 12 14 60 102 104 114 122 132 140 150 152 194 240 242 254	-1832370863388
SPT(16)	2773904214521589713	0 44 78 90 128 134 168 198 236 266 300 306 344 356 390 434	-1493359921344
SPT(18)	2773904543125713883	0 4 28 40 48 54 78 88 100 144 156 166 190 196 204 216 240 244	-1164755797174
STPT(10)	2773905077166012701	0 2 6 8 18 20 30 32 36 38	-630715498356
STPT(10)	2773906733162115557	0 2 30 32 42 44 54 56 84 86	1025280604500
SPT(16)	2773907115548409157	0 30 52 114 150 162 174 204 232 262 274 286 322 384 406 436	1407666898100
STPT(10)	2773907315431239467	0 2 30 32 42 44 54 56 84 86	1607549728410
STPT(10)	2773907469559238447	0 2 30 32 42 44 54 56 84 86	1761677727390
SPT(16)	2773907653878629911	0 18 30 52 60 82 96 102 136 142 156 178 186 208 220 238	1945997118854