  Toric surface codes are a class of error-correcting codes coming from a
lattice polytope defining a two-dimensional toric variety. Previous authors
have mostly completed classifications of these toric surface codes with
dimension up to $k = 7.$ In this note, we correct an error in the
classification of the $k=7$ case started in \cite{HLYZZ}, and disprove one of
their conjectures.

Algebraic Geometry