  Over $\mathbb{C}$, the only non-integrable distributions with
infinite-dimensional Lie algebra of symmetries are the contact one and the
Engel one. From the classification of simple infinite-dimensional Lie
superalgebras of vector fields with polynomial coefficients over $\mathbb{C}$
we single out 2 types of contact series and 7 exceptional Lie superalgebras
which preserve non-integrable distributions and list the growth vectors of
these distributions.
  We also classify the Weisfeiler gradings of the simple modular vectorial Lie
(super)algebras with unconstrained shearing vector of heights of the
indeterminates, single out the versions preserving non-integrable distributions
and list the growth vectors of the latter.
