The generator matrix

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

generates a code of length 31 over Z5[X]/(X^2) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+136x^95+484x^100+788x^105+1312x^110+1704x^115+14608x^120+52620x^125+2684x^130+2048x^135+1196x^140+376x^145+140x^150+28x^155

The gray image is a linear code over GF(5) with n=155, k=7 and d=95.
This code was found by Heurico 1.16 in 9.38 seconds.