The generator matrix

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

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+760x^115+780x^116+700x^117+1360x^118+360x^119+3816x^120+2620x^121+2180x^122+3920x^123+420x^124+6096x^125+5060x^126+4260x^127+8080x^128+1080x^129+9376x^130+6900x^131+4640x^132+6640x^133+640x^134+5456x^135+2140x^136+720x^137+56x^140+40x^145+24x^150

The gray image is a linear code over GF(5) with n=160, k=7 and d=115.
This code was found by Heurico 1.16 in 6.81 seconds.