The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+80x^129+8x^130+80x^131+300x^132+120x^134+20x^136+12x^140+4x^145

The gray image is a linear code over GF(5) with n=165, k=4 and d=129.
This code was found by Heurico 1.16 in 0.0512 seconds.