The generator matrix

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

generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+840x^119+400x^120+600x^121+1000x^123+2260x^124+1040x^125+780x^126+500x^128+1960x^129+1080x^130+640x^131+1000x^133+2440x^134+600x^135+480x^136+4x^150

The gray image is a linear code over GF(5) with n=160, k=6 and d=119.
This code was found by Heurico 1.16 in 0.278 seconds.