  We use the methods of \cite{BM} to give a classification of $7-$dimensional
minimal algebras, generated in degree 1, over any field $\bk$ of characteristic
$\textrm{char}(\bk)\neq 2$, whose characteristic filtration has length 2.
Equivalently, we classify $2-$step nilpotent Lie algebras in dimension 7. This
classification also recovers the real homotopy type of $7-$dimensional $2-$step
nilmanifolds.
