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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+216x^135+152x^140+2500x^144+68x^145+64x^150+44x^155+32x^160+16x^165+20x^170+8x^175+4x^180

The gray image is a linear code over GF(5) with n=180, k=5 and d=135.
This code was found by Heurico 1.16 in 2.69 seconds.