Prime p₀= 775698341566401677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 58 2 16 2 10 2 64 2 (?)
a_n: 0 2 30 32 54 56 114 116 132 134 144 146 210 212
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: 212
Found by: CThiede
db: batch=73, k=14, 28 22 58 16 10 64

SPT(16)	775697205352591679	0 50 72 80 120 164 182 224 240 282 300 344 384 392 414 464	-1136213809998
STPT(10)	775697694276161957	0 2 24 26 42 44 60 62 84 86	-647290239720
SPT(16)	775697812018446439	0 12 24 28 64 72 184 192 250 258 370 378 414 418 430 442	-529547955238
SPT(16)	775697856860155561	0 10 22 36 70 82 90 150 208 268 276 288 322 336 348 358	-484706246116
SPT(16)	775697857653141491	0 8 32 48 80 116 168 180 188 200 252 288 320 336 360 368	-483913260186
TPT(14)	775698256975305341	0 2 60 62 138 140 186 188 198 200 228 230 306 308	-84591096336
STPT(10)	775698563433513659	0 2 18 20 60 62 102 104 120 122	221867111982
STPT(10)	775699076443011731	0 2 6 8 48 50 90 92 96 98	734876610054
TPT(14)	775699176034266089	0 2 12 14 72 74 180 182 258 260 282 284 342 344	834467864412
SPT(16)	775699475960136419	0 24 42 60 80 90 102 164 168 230 242 252 272 290 308 332	1134393734742
STPT(10)	775699552707962549	0 2 18 20 30 32 42 44 60 62	1211141560872