Prime p₀= 775038158480712689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 10 2 4 2 82 2 34 2 (?)
a_n: 0 2 90 92 120 122 132 134 138 140 222 224 258 260
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: 260
Found by: arkiss
db: batch=73, k=14, 88 28 10 4 82 34

TPT(14)	775036857199715447	0 2 30 32 72 74 150 152 204 206 210 212 282 284	-1301280997242
SPT(16)	775037074057083473	0 6 86 108 128 180 258 264 410 416 494 546 566 588 668 674	-1084423629216
SPT(16)	775037317841707567	0 34 100 132 150 162 204 216 220 232 274 286 304 336 402 436	-840639005122
STPT(10)	775037335474364717	0 2 42 44 72 74 102 104 144 146	-823006347972
SPT(16)	775037603880369227	0 12 14 24 66 80 104 110 126 132 156 170 212 222 224 236	-554600343462
STPT(10)	775037906051288807	0 2 12 14 72 74 132 134 144 146	-252429423882
SPT(16)	775038301347650731	0 30 42 70 166 196 198 222 226 250 252 282 378 406 418 448	142866938042
SPT(16)	775038542592480449	0 2 20 30 54 132 152 174 188 210 230 308 332 342 360 362	384111767760
TPT(14)	775038593844288479	0 2 102 104 138 140 168 170 192 194 198 200 318 320	435363575790
TPT(14)	775038733434512879	0 2 12 14 78 80 90 92 120 122 222 224 258 260	574953800190
TPT(14)	775038859276819661	0 2 30 32 60 62 108 110 168 170 186 188 240 242	700796106972