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

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+64x^175+168x^180+148x^185+2500x^188+92x^190+40x^195+24x^200+40x^205+16x^210+16x^215+8x^220+4x^225+4x^235

The gray image is a linear code over GF(5) with n=235, k=5 and d=175.
This code was found by Heurico 1.16 in 0.0408 seconds.