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

generates a code of length 48 over Z5[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+88x^180+188x^185+500x^188+120x^190+2000x^193+84x^195+56x^200+16x^205+16x^210+28x^215+4x^220+16x^225+4x^230+4x^235

The gray image is a linear code over GF(5) with n=240, k=5 and d=180.
This code was found by Heurico 1.16 in 0.0424 seconds.