The generator matrix

 1  0  1  1  1  1  1  1  1  1  0  1  0  1  1  1  1  1  1  1  0  1  1  1  X  1  1  1  X  1  1
 0  1  1  2  4  3 3X+1  0  2 3X+4  1  3  1  3  2 3X+4  0 X+3 3X+1  0  1  2  3 3X+1  1 3X+4 X+2 X+2  1 2X+3  X
 0  0 3X  0  0  0  0  X  X 3X 3X  X 2X 2X  X  X  0 3X 4X 3X 2X 2X  0 3X 4X 3X 3X 3X 3X  0 4X
 0  0  0  X  0  X 3X 3X 2X  X 3X 3X 3X  X  0 4X  X  0  X 4X 4X 3X 3X 2X 2X 4X 3X 2X 2X 4X 4X
 0  0  0  0 3X 3X 2X 3X 4X  0 4X  X 3X 2X 3X  X 2X  X  X 2X 4X  X 3X 3X 3X  X  X 2X  X  0  X

generates a code of length 31 over Z5[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+184x^105+20x^108+60x^109+1164x^110+720x^113+660x^114+3248x^115+3720x^118+2660x^119+9740x^120+10320x^123+4960x^124+15256x^125+10220x^128+4160x^129+10196x^130+476x^135+252x^140+80x^145+28x^150

The gray image is a linear code over GF(5) with n=155, k=7 and d=105.
This code was found by Heurico 1.16 in 4.65 seconds.