how can I plot this Modulo-q lattice?

how can I plot this Modulo-q lattice?

A q-ary linear code C induces a modulo-q lattice(L): L = {x ∈ Z^n : x mod q ∈ C}. Figure shows a Construction A of a two-dimensional lattice. Here q = 11, and the generator matrix of the underlying linear code is G = [2, 3]t, so C consists of the codewords (0, 0),(2, 3),(4, 6),(6, 9),(8, 1),(10, 4),(1, 7),(3, 10),(5, 2),(7, 5) and (9, 8)

Thanks for any suggestions.