The generator matrix

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

generates a code of length 47 over Z5[X]/(X^2) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+660x^173+660x^174+320x^175+440x^176+740x^177+3360x^178+3080x^179+1752x^180+1280x^181+1500x^182+6760x^183+4040x^184+2372x^185+1920x^186+1860x^187+9460x^188+5800x^189+3876x^190+2560x^191+2320x^192+9060x^193+4660x^194+2164x^195+1300x^196+1080x^197+3200x^198+1760x^199+48x^200+36x^205+36x^210+12x^215+4x^220+4x^225

The gray image is a linear code over GF(5) with n=235, k=7 and d=173.
This code was found by Heurico 1.16 in 6.56 seconds.