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

generates a code of length 51 over Z5[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+64x^180+292x^185+436x^190+364x^195+500x^196+412x^200+4000x^201+380x^205+8000x^206+292x^210+324x^215+184x^220+172x^225+96x^230+76x^235+20x^240+12x^245

The gray image is a linear code over GF(5) with n=255, k=6 and d=180.
This code was found by Heurico 1.16 in 0.788 seconds.