The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+120x^120+152x^125+96x^130+2500x^132+64x^135+80x^140+48x^145+40x^150+12x^155+4x^160+8x^165

The gray image is a linear code over GF(5) with n=165, k=5 and d=120.
This code was found by Heurico 1.16 in 0.0234 seconds.