Prime p₀= 2338717072076811311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 40 2 46 2 22 2 (?)
a_n: 0 2 18 20 30 32 96 98 138 140 186 188 210 212
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: Landjunge
db: batch=81, k=14, 16 10 64 40 46 22

STPT(10)	2338714985810164007	0 2 54 56 72 74 90 92 144 146	-2086266647304
SPT(16)	2338715228521270021	0 12 16 22 76 190 192 196 246 250 252 366 420 426 430 442	-1843555541290
SPT(16)	2338715392221544103	0 14 60 80 98 104 110 138 146 174 180 186 204 224 270 284	-1679855267208
STPT(10)	2338715701578399707	0 2 90 92 132 134 174 176 264 266	-1370498411604
STPT(10)	2338716335955423239	0 2 12 14 30 32 48 50 60 62	-736121388072
STPT(12)	2338716834012654629	0 2 42 44 48 50 72 74 78 80 120 122	-238064156682
STPT(10)	2338717506035721617	0 2 42 44 72 74 102 104 144 146	433958910306
STPT(10)	2338717530638989601	0 2 6 8 48 50 90 92 96 98	458562178290
SPT(16)	2338717871877834757	0 4 22 24 30 72 90 100 204 214 232 274 280 282 300 304	799801023446
STPT(10)	2338718098521886259	0 2 12 14 90 92 168 170 180 182	1026445074948
SPT(16)	2338718334047050619	0 2 42 68 108 132 140 152 210 222 230 254 294 320 360 362	1261970239308