The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+2220x^124+492x^125+3440x^129+1212x^130+3960x^134+1120x^135+2880x^139+280x^140+12x^150+8x^155

The gray image is a linear code over GF(5) with n=165, k=6 and d=124.
This code was found by Heurico 1.16 in 627 seconds.