The generator matrix

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

generates a code of length 47 over Z5[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+308x^175+120x^176+360x^179+2152x^180+520x^181+420x^184+2016x^185+520x^186+1080x^189+3600x^190+920x^191+640x^194+2248x^195+420x^196+224x^200+24x^205+20x^210+16x^215+8x^220+8x^225

The gray image is a linear code over GF(5) with n=235, k=6 and d=175.
This code was found by Heurico 1.16 in 0.327 seconds.