The generator matrix

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

generates a code of length 49 over Z5[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+144x^175+80x^178+100x^179+1208x^180+900x^183+680x^184+3224x^185+2500x^188+1780x^189+6624x^190+7300x^193+3580x^194+11404x^195+8900x^198+4280x^199+12108x^200+5320x^203+2080x^204+5184x^205+296x^210+232x^215+96x^220+72x^225+28x^230+4x^240

The gray image is a linear code over GF(5) with n=245, k=7 and d=175.
This code was found by Heurico 1.16 in 8.85 seconds.