The generator matrix

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

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+504x^135+1240x^136+760x^137+180x^138+1528x^140+1980x^141+1360x^142+120x^143+1552x^145+1420x^146+600x^147+120x^148+1540x^150+1860x^151+780x^152+80x^153

The gray image is a linear code over GF(5) with n=180, k=6 and d=135.
This code was found by Heurico 1.16 in 0.192 seconds.