The generator matrix

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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+60x^130+120x^131+360x^134+812x^135+780x^136+920x^139+1088x^140+1140x^141+2080x^144+2152x^145+1900x^146+1640x^149+1384x^150+1060x^151+48x^155+36x^160+20x^165+16x^170+8x^175

The gray image is a linear code over GF(5) with n=180, k=6 and d=130.
This code was found by Heurico 1.16 in 0.239 seconds.