  In this paper, we consider $N$ clusters of pairs of particles sedimenting in
a viscous fluid. The particles are assumed to be rigid spheres and inertia of
both particles and fluid are neglected. The distance between each two particles
forming the cluster is comparable to their radii $\frac{1}{N}$ while the
minimal distance between the pairs is of order $N^{-1/2}$. We show that, at the
mesoscopic level, the dynamics are modelled using a transport-Stokes equation
describing the time evolution of the position $x$ and orientation $\xi$ of the
clusters. Under the additional assumption that the minimal distance is of order
$N^{-1/3}$, we investigate the case where the orientation of the cluster is
initially correlated to its position. In this case, a local existence and
uniqueness result for the limit model is provided.
