  Let $\{X_t\}_{t\geq0}$ be a $d$-dimensional critical super-Brownian motion
started from a Poisson random measure whose intensity is the Lebesgue measure.
Denote by $R_t:=\sup\{u>0: X_t(\{x\in\mathbb{R}^d:|x|< u\})=0\}$ the radius of
the largest empty ball centered at the origin of $X_t$. In this work, we prove
that for $r>0$,
$$\lim_{t\to\infty}\mathbb{P}\left(\frac{R_t}{t^{(1/d)\wedge(3-d)^+}}\geq
r\right)=e^{-A_d(r)},$$ where $A_d(r)$ satisfies
$\lim_{r\to\infty}\frac{A_d(r)}{r^{|d-2|+d\ind_{\{d=2\}}}}=C$ for some
$C\in(0,\infty)$ depending only on $d$.
