Prime p₀= 775698256975305341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 46 2 10 2 28 2 76 2 (?)
a_n: 0 2 60 62 138 140 186 188 198 200 228 230 306 308
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: 308
Found by: CThiede
db: batch=73, k=14, 58 76 46 10 28 76

SPT(16)	775697004506734217	0 36 92 102 116 134 144 186 200 242 252 270 284 294 350 386	-1252468571124
SPT(16)	775697205352591679	0 50 72 80 120 164 182 224 240 282 300 344 384 392 414 464	-1051622713662
STPT(10)	775697694276161957	0 2 24 26 42 44 60 62 84 86	-562699143384
SPT(16)	775697812018446439	0 12 24 28 64 72 184 192 250 258 370 378 414 418 430 442	-444956858902
SPT(16)	775697856860155561	0 10 22 36 70 82 90 150 208 268 276 288 322 336 348 358	-400115149780
SPT(16)	775697857653141491	0 8 32 48 80 116 168 180 188 200 252 288 320 336 360 368	-399322163850
TPT(14)	775698341566401677	0 2 30 32 54 56 114 116 132 134 144 146 210 212	84591096336
STPT(10)	775698563433513659	0 2 18 20 60 62 102 104 120 122	306458208318
STPT(10)	775699076443011731	0 2 6 8 48 50 90 92 96 98	819467706390
TPT(14)	775699176034266089	0 2 12 14 72 74 180 182 258 260 282 284 342 344	919058960748
SPT(16)	775699475960136419	0 24 42 60 80 90 102 164 168 230 242 252 272 290 308 332	1218984831078