Prime p₀= 746572791835237331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 118 2 4 2 40 2 28 2 (?)
a_n: 0 2 18 20 30 32 150 152 156 158 198 200 228 230
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: 230
Found by: Theadalus
db: batch=73, k=14, 16 10 118 4 40 28

STPT(10)	746571383651202827	0 2 12 14 132 134 252 254 264 266	-1408184034504
STPT(10)	746571698220079619	0 2 18 20 30 32 42 44 60 62	-1093615157712
STPT(10)	746571720714207977	0 2 30 32 42 44 54 56 84 86	-1071121029354
SPT(16)	746571863207008691	0 80 102 132 140 150 206 212 396 402 458 468 476 506 528 608	-928628228640
SPT(16)	746571984930413143	0 34 64 90 150 160 168 214 234 280 288 298 358 384 414 448	-806904824188
SPT(16)	746572488812673181	0 36 40 52 70 72 112 142 150 180 220 222 240 252 256 292	-303022564150
TPT(14)	746573018713417109	0 2 102 104 132 134 198 200 222 224 258 260 342 344	226878179778
SPT(16)	746573112700926097	0 10 30 42 82 96 126 156 166 196 226 240 280 292 312 322	320865688766
STPT(10)	746573236377665027	0 2 60 62 102 104 144 146 204 206	444542427696
STPT(10)	746573451077374169	0 2 18 20 30 32 42 44 60 62	659242136838
SPT(16)	746573810970817997	0 6 56 122 146 180 194 206 300 312 326 360 384 450 500 506	1019135580666