The generator matrix

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

generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+140x^120+240x^122+400x^123+504x^125+320x^127+200x^128+136x^130+440x^132+400x^133+332x^135+8x^140+4x^145

The gray image is a linear code over GF(5) with n=160, k=5 and d=120.
This code was found by Heurico 1.16 in 0.0115 seconds.