An interesting problem

Let $n$ be a large positive integer.  Recently I've been looking for a family of curves $f_n: \mathscr{C}_n\to \mathbb{P}^1$ with the following properties:

• $f_n$ is flat and proper of relative dimension $1$,
• the general fiber of $f_n$ is smooth, and the family is not isotrivial
• every singularity that appears in a fiber of $f_n$ is etale-locally of the form $$xy=t^n$$ where $t$ is a parameter on $\mathbb{P}^1$...