The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+1260x^119+808x^120+160x^121+700x^122+360x^123+5940x^124+2632x^125+720x^126+1900x^127+420x^128+11420x^129+4252x^130+2080x^131+4100x^132+1080x^133+17300x^134+5572x^135+2040x^136+3300x^137+640x^138+9080x^139+2228x^140+64x^145+44x^150+20x^155+4x^165

The gray image is a linear code over GF(5) with n=165, k=7 and d=119.
This code was found by Heurico 1.16 in 51.4 seconds.