The generator matrix

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

generates a code of length 49 over Z5[X]/(X^2) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+580x^186+980x^187+360x^188+700x^189+36x^190+1780x^191+1300x^192+320x^193+1020x^194+48x^195+1600x^196+1080x^197+380x^198+660x^199+1140x^201+1020x^202+440x^203+620x^204+24x^205+900x^206+620x^207+12x^210+4x^215

The gray image is a linear code over GF(5) with n=245, k=6 and d=186.
This code was found by Heurico 1.16 in 0.274 seconds.