The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  X  X  X
 0  X  0  0  0  0  0  X  X  X 3X  X 4X 3X  X 3X  0 2X 3X 4X 2X  0 4X  X 2X 4X  X 4X  X  0  X  X
 0  0  X  0  0  X  X 3X 2X 4X 4X 2X 4X  0  X 2X 4X 2X 4X 4X  0  0  X  0  X  0 3X 4X 2X  X 4X 4X
 0  0  0  X  0 3X 2X 3X 4X  X 2X 3X  0 2X 3X 2X 4X 2X 3X 4X 3X 2X  0 3X 3X 3X  0 2X 2X 3X 3X 3X
 0  0  0  0  X 3X  X 2X 3X 3X 3X  X 4X 4X 4X 2X 3X 2X  0  0  0  X 2X 3X 3X 3X 4X  0  X  0 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+244x^110+20x^112+432x^115+320x^117+392x^120+1920x^122+472x^125+5120x^127+492x^130+5120x^132+356x^135+388x^140+248x^145+72x^150+28x^155

The gray image is a linear code over GF(5) with n=160, k=6 and d=110.
This code was found by Heurico 1.16 in 0.485 seconds.