Prime p₀= 2716240314621894869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 16 2 10 2 16 2 22 2 154 2 (?)
a_n: 0 2 180 182 198 200 210 212 228 230 252 254 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 178 16 10 16 22 154

STPT(10)	2716238389520240861	0 2 78 80 168 170 258 260 336 338	-1925101654008
SPT(16)	2716238529273248519	0 8 42 50 108 128 150 152 168 170 192 212 270 278 312 320	-1785348646350
SPT(16)	2716239339431130179	0 2 8 24 44 72 78 102 140 164 170 198 218 234 240 242	-975190764690
STPT(10)	2716239580914527807	0 2 42 44 72 74 102 104 144 146	-733707367062
SPT(16)	2716239610257087727	0 52 70 82 106 190 192 220 222 250 252 336 360 372 390 442	-704364807142
SPT(16)	2716240281114572831	0 36 48 132 152 170 180 188 240 248 258 276 296 380 392 428	-33507322038
SPT(16)	2716240791464806967	0 36 74 86 92 102 116 174 182 240 254 264 270 282 320 356	476842912098
SPT(16)	2716240888600103299	0 12 42 58 70 120 154 234 238 318 352 402 414 430 460 472	573978208430
STPT(10)	2716241139953140367	0 2 12 14 42 44 72 74 84 86	825331245498
SPT(16)	2716241488925520301	0 6 22 30 36 70 72 76 126 130 132 166 172 180 196 202	1174303625432
SPT(16)	2716241680532561087	0 2 32 36 60 74 84 144 152 212 222 236 260 264 294 296	1365910666218