The generator matrix

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

generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+204x^115+40x^116+720x^119+836x^120+480x^121+840x^124+1468x^125+1920x^126+2160x^129+1816x^130+2560x^131+1280x^134+1196x^135+32x^140+40x^145+12x^150+20x^155

The gray image is a linear code over GF(5) with n=160, k=6 and d=115.
This code was found by Heurico 1.16 in 0.207 seconds.