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

generates a code of length 49 over Z5[X]/(X^2) who´s minimum homogenous weight is 185.

Homogenous weight enumerator: w(x)=1x^0+144x^185+100x^188+180x^190+800x^193+92x^195+1600x^198+56x^200+52x^205+40x^210+20x^215+8x^220+8x^225+8x^230+16x^235

The gray image is a linear code over GF(5) with n=245, k=5 and d=185.
This code was found by Heurico 1.16 in 0.0437 seconds.