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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+340x^118+320x^119+1040x^120+80x^121+340x^122+4980x^123+1300x^124+2504x^125+360x^126+980x^127+10020x^128+2580x^129+4292x^130+1040x^131+2020x^132+17660x^133+3660x^134+4916x^135+1020x^136+1660x^137+12000x^138+2140x^139+2764x^140+44x^145+44x^150+12x^155+8x^160

The gray image is a linear code over GF(5) with n=165, k=7 and d=118.
This code was found by Heurico 1.16 in 4.37 seconds.