  In this article, we consider a branching random walk on the real-line where
displacements coming from the same parent have jointly regularly varying tails.
The genealogical structure is assumed to be a supercritical Galton-Watson tree,
satisfying Kesten-Stigum condition. We study the large deviations of the
extremal process, formed by the appropriately normalized positions in the
$n$-th generation and show that the large extreme-positions form clusters in
the limit. As a consequence of this, we also study the large deviations of the
maximum among positions at the $n$-th generation.
