  We consider a branching random walk on the lattice, where the branching rates
are given by an i.i.d. Pareto random potential. We show that the system of
particles, rescaled in an appropriate way, converges in distribution to a
scaling limit that is interesting in its own right. We describe the limit
object as a growing collection of "lilypads" built on a Poisson point process
in $\mathbb{R}^d$. As an application of our main theorem, we show that the
maximizer of the system displays the ageing property.
