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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+204x^125+396x^130+100x^132+492x^135+1200x^137+428x^140+4800x^142+384x^145+6400x^147+356x^150+364x^155+308x^160+152x^165+36x^170+4x^175

The gray image is a linear code over GF(5) with n=180, k=6 and d=125.
This code was found by Heurico 1.16 in 0.521 seconds.