  Since the celebrated work by Cartan, distributions with \nobreak{small}
growth vector $(2,3,5)$ have been studied extensively. In the holomorphic
setting, there is a natural correspondence between holomorphic
$(2,3,5)$-distributions and nondegenerate lines on holomorphic contact
manifolds of dimension 5. We generalize this correspondence to higher
dimensions by studying nondegenerate lines on holomorphic contact manifolds and
the corresponding class of distributions of small growth vector $(2m, 3m,
3m+2)$ for any positive integer $m$.
