Young graph isomorphism conjecture for the $Y(11,7)$ family

Let $Y(g,k)$ denote the Young graph associated with the base $g$ and multiplier $k$. $Y(11,7)$ family conjecture. For all $n\ge 0$, the Young graphs

$$Y(2(n+2)(n+3)-1, 2(n+2)^2-1),\quad Y(23+20n, 13+12n),\quad Y(23+15n, 17+10n),$$ $$Y(26+12n, 10+4n),\quad\text{and}\quad Y(11+6n, 7+3n)$$

are all isomorphic to $Y(11,7)$. These experimentally observed isomorphisms are part of the paper's computational study of equivalence classes of Young graphs; no proof or resolution is supplied.