The generator matrix

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

generates a code of length 58 over Z7[X]/(X^2) who´s minimum homogenous weight is 335.

Homogenous weight enumerator: w(x)=1x^0+10080x^335+2520x^336+27384x^342+4542x^343+30240x^349+4914x^350+33138x^356+4830x^357

The gray image is a linear code over GF(7) with n=406, k=6 and d=335.
This code was found by Heurico 1.16 in 69.4 seconds.