The generator matrix

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

generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+296x^110+140x^111+20x^112+100x^113+260x^114+1256x^115+660x^116+320x^117+600x^118+960x^119+3412x^120+1560x^121+1920x^122+2600x^123+3060x^124+6948x^125+3960x^126+5120x^127+5100x^128+4960x^129+9936x^130+4060x^131+5120x^132+4100x^133+3260x^134+5544x^135+2120x^136+364x^140+248x^145+116x^150+4x^155

The gray image is a linear code over GF(5) with n=160, k=7 and d=110.
This code was found by Heurico 1.16 in 5.03 seconds.