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

generates a code of length 51 over Z5[X]/(X^2) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+200x^195+100x^196+140x^200+800x^201+192x^205+1600x^206+24x^220+4x^225+48x^230+16x^245

The gray image is a linear code over GF(5) with n=255, k=5 and d=195.
This code was found by Heurico 1.16 in 24 seconds.