The generator matrix

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

generates a code of length 36 over Z5[X]/(X^2) who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+180x^137+120x^138+400x^139+324x^140+460x^142+160x^143+200x^144+104x^145+140x^147+220x^148+400x^149+168x^150+220x^152+24x^155+4x^160

The gray image is a linear code over GF(5) with n=180, k=5 and d=137.
This code was found by Heurico 1.16 in 0.0558 seconds.