The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  X  1  1 2X  1  1  1 4X  1  1 2X  1  1  1  1  X  1  1
 0  1  1  2 3X+4  3  0 3X+1  2 3X+4  3  1  0 3X+4  X 4X+4 3X+1  2  3  1 4X 2X+4 3X+1 X+2 4X+1 4X+2 X+3 2X  0 2X+4  1 X+3 4X+1  1 3X+1 2X+2 X+3  1 3X+3 X+2  1 4X+3 2X+1  X  2  1  X  3
 0  0 3X  0 3X 2X  0 4X 2X 4X  X 3X 2X  0 3X  0 2X  X 4X  X  0  X 4X 2X 2X  0 4X 3X 4X 3X 3X 2X  0 4X 2X  X  X 2X  0 3X 3X 2X  0 4X 3X 2X 2X  0
 0  0  0  X 3X  X 2X 3X  0 2X 3X  X 2X 3X  X 4X 3X 2X  X  X  X  0 2X  X 2X 2X 4X 3X 3X 4X  0  0  0 2X 4X 4X  X 4X 4X 2X 3X 4X 3X  X  0  0  0  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+520x^180+540x^181+360x^183+1580x^185+920x^186+420x^188+1836x^190+1200x^191+1080x^193+2740x^195+1680x^196+640x^198+1348x^200+660x^201+32x^205+16x^210+20x^215+16x^220+12x^225+4x^230

The gray image is a linear code over GF(5) with n=240, k=6 and d=180.
This code was found by Heurico 1.16 in 0.344 seconds.