The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+720x^115+800x^116+840x^117+420x^118+3780x^119+4764x^120+5160x^121+3940x^122+2920x^123+11100x^124+13088x^125+14700x^126+11980x^127+8220x^128+26020x^129+31992x^130+28940x^131+24520x^132+18120x^133+39540x^134+39268x^135+30880x^136+20060x^137+7820x^138+19560x^139+13180x^140+7020x^141+1160x^142+56x^145+36x^150+8x^155+12x^160

The gray image is a linear code over GF(5) with n=165, k=8 and d=115.
This code was found by Heurico 1.16 in 101 seconds.