Prime p₀= 2533451097660117377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 64 2 58 2 10 2 28 2 (?)
a_n: 0 2 12 14 84 86 150 152 210 212 222 224 252 254
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: [SG]ATA-Rolf
db: batch=82, k=14, 10 70 64 58 10 28

SPT(16)	2533449394319234513	0 14 26 38 66 68 80 84 110 114 126 128 156 168 180 194	-1703340882864
SPT(16)	2533449447533106653	0 6 14 24 56 68 78 134 180 236 246 258 290 300 308 314	-1650127010724
STPT(10)	2533449797350437809	0 2 18 20 30 32 42 44 60 62	-1300309679568
SPT(16)	2533450296369380117	0 32 42 44 80 146 156 164 192 200 210 276 312 314 324 356	-801290737260
TPT(14)	2533451009583414197	0 2 30 32 60 62 180 182 222 224 294 296 300 302	-88076703180
SPT(16)	2533451069047015591	0 6 40 42 52 102 108 126 172 190 196 246 256 258 292 298	-28613101786
STPT(10)	2533451261286723467	0 2 30 32 42 44 54 56 84 86	163626606090
STPT(10)	2533451742538773521	0 2 48 50 108 110 168 170 216 218	644878656144
STPT(10)	2533451927138793569	0 2 18 20 30 32 42 44 60 62	829478676192
SPT(16)	2533452486470266607	0 2 12 30 50 54 60 102 134 176 182 186 206 224 234 236	1388810149230
SPT(16)	2533453168040870461	0 42 70 88 148 156 168 172 246 250 262 270 330 348 376 418	2070380753084