Elliptic curve involving subfamilies of rank at least 5 over $\mathbb{Q}(t)$ or $\mathbb{Q}(t,k)$

Motivated by the work of Zargar and Zamani, we introduce a family elliptic curves containing several one- (respectively two-) parameter subfamilies high rank over function field $\mathbb{Q}(t)$ $\mathbb{Q}(t,k)$). Following approach Moody, construct two infinitely many at least 5 $\mathbb{Q}(t,k)$. Secondly, deduce other this family, induced edges rational cuboid five independent $\mathbb{Q}(t)$-rational points. Finally, give new subfamily Diophantine triples with $\mathbb{Q}(t)$. By specialization, obtain some specific examples $\mathbb{Q}$ (8, 9, 10 11).