The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+52x^110+180x^114+328x^115+40x^116+820x^118+540x^119+436x^120+640x^121+2720x^123+1540x^124+396x^125+3840x^126+9420x^128+2840x^129+360x^130+10240x^131+14720x^133+4140x^134+468x^135+10240x^136+9820x^138+3260x^139+412x^140+344x^145+248x^150+60x^155+20x^160

The gray image is a linear code over GF(5) with n=165, k=7 and d=110.
This code was found by Heurico 1.16 in 5.08 seconds.