The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  X  1  1  1  1  1  1  1  1  1  1 3X  1  1  1  1  1 3X 4X  1  1  1  1 3X  1  0  1  1  1  1
 0  1  1  3 5X+2  6 5X+4  5  0 5X+1  3  1 5X+2  5  6 5X+4 5X+1  X X+3 X+5 4X+2 X+6 4X+4  1 4X+2 X+6 4X+4  1  X 4X+1 X+3 X+5  2  4 3X 2X+1 3X+5 5X+6  1 6X+5 2X+6 3X+2 3X+3  4  1  1 5X+6 3X+4 3X+5  2  1 5X+3  1 4X+2 5X+2  5 X+5
 0  0 5X 3X 6X  X 2X 3X  X 4X 2X  X 5X  0  0 4X 6X 2X 6X 4X  X 5X  X 5X 3X 3X 5X 3X 5X  X  0 6X 4X 6X 3X  0 2X 2X 4X 5X 4X 2X 4X  0 2X 6X 6X 3X  X  0  0 5X 2X 6X  X 4X 2X

generates a code of length 57 over Z7[X]/(X^2) who´s minimum homogenous weight is 330.

Homogenous weight enumerator: w(x)=1x^0+672x^330+840x^333+630x^334+1764x^335+162x^336+2268x^337+1260x^340+504x^341+588x^342+84x^343+1386x^344+2016x^347+924x^348+1764x^349+54x^350+1848x^351+18x^357+24x^364

The gray image is a linear code over GF(7) with n=399, k=5 and d=330.
This code was found by Heurico 1.16 in 58.4 seconds.