The generator matrix

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

generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+140x^107+200x^108+200x^110+900x^111+940x^112+1340x^113+860x^114+2524x^115+5920x^116+3000x^117+4280x^118+5140x^119+8496x^120+16640x^121+9460x^122+11100x^123+13620x^124+23700x^125+35360x^126+20320x^127+21620x^128+25900x^129+39648x^130+47180x^131+21440x^132+18440x^133+14480x^134+13416x^135+16500x^136+4700x^137+3020x^138+52x^140+40x^145+40x^150+8x^155

The gray image is a linear code over GF(5) with n=160, k=8 and d=107.
This code was found by Heurico 1.16 in 94.9 seconds.