Prime p₀= 923486557333730771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 130 2 46 2 40 2 76 2 (?)
a_n: 0 2 6 8 36 38 168 170 216 218 258 260 336 338
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: 338
Found by: stoneageman
db: batch=76, k=14, 4 28 130 46 40 76

SPT(16)	923485623076555783	0 6 30 100 186 226 256 294 340 378 408 448 534 604 628 634	-934257174988
STPT(10)	923485878837343487	0 2 30 32 42 44 54 56 84 86	-678496387284
STPT(10)	923485908458496347	0 2 30 32 42 44 54 56 84 86	-648875234424
SPT(16)	923486348938809547	0 12 34 42 82 114 126 166 210 250 262 294 334 342 364 376	-208394921224
STPT(10)	923486392325691671	0 2 36 38 78 80 120 122 156 158	-165008039100
SPT(13)	923486431669021289	0 24 84 114 138 150 174 198 210 234 264 324 348	-125664709482
SPT(16)	923486675772078181	0 18 58 60 66 82 96 102 106 112 126 142 148 150 190 208	118438347410
SPT(16)	923487186756872951	0 48 98 180 182 188 192 222 266 296 300 306 308 390 440 488	629423142180
TPT(14)	923487255027187439	0 2 30 32 78 80 180 182 318 320 348 350 378 380	697693456668
STPT(10)	923487363264037067	0 2 60 62 72 74 84 86 144 146	805930306296
SPT(16)	923487567077336363	0 48 56 86 198 246 258 260 306 308 320 368 480 510 518 566	1009743605592