The generator matrix

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

generates a code of length 47 over Z5[X]/(X^2) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+980x^174+1252x^175+820x^176+700x^177+4340x^179+3696x^180+2820x^181+1580x^182+6720x^184+6004x^185+3420x^186+1860x^187+8000x^189+8660x^190+5420x^191+2240x^192+7580x^194+5240x^195+2520x^196+1120x^197+2380x^199+680x^200+52x^205+24x^210+8x^215+8x^220

The gray image is a linear code over GF(5) with n=235, k=7 and d=174.
This code was found by Heurico 1.16 in 90.6 seconds.