Prime p₀= 2453833456550707571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 148 2 58 2 10 2 28 2 (?)
a_n: 0 2 6 8 18 20 168 170 228 230 240 242 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 4 10 148 58 10 28

SPT(18)	2453830926971869271	0 36 56 66 80 120 156 176 198 248 270 290 326 366 380 390 410 446	-2529578838300
SPT(16)	2453831677841041181	0 26 36 50 60 98 132 162 206 236 270 308 318 332 342 368	-1778709666390
SPT(16)	2453831725442943907	0 22 34 36 40 54 102 120 136 154 202 216 220 222 234 256	-1731107763664
STPT(10)	2453832615519555269	0 2 18 20 30 32 42 44 60 62	-841031152302
SPT(16)	2453832666605297239	0 22 70 78 82 132 150 202 210 262 280 330 334 342 390 412	-789945410332
TPT(14)	2453833093337235539	0 2 150 152 210 212 222 224 282 284 312 314 438 440	-363213472032
TPT(14)	2453833712082787247	0 2 12 14 24 26 90 92 120 122 300 302 330 332	255532079676
SPT(16)	2453834458330635799	0 24 34 40 48 52 90 108 154 172 210 214 222 228 238 262	1001779928228
SPT(16)	2453834602053262699	0 40 42 78 102 118 120 144 148 172 174 190 214 250 252 292	1145502555128
SPT(16)	2453834662307343269	0 8 104 108 120 140 182 210 302 330 372 392 404 408 504 512	1205756635698
SPT(16)	2453835162470989369	0 42 48 70 78 88 100 172 270 342 354 364 372 394 400 442	1705920281798