The generator matrix

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

generates a code of length 50 over Z5[X]/(X^2) who�s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+272x^195+1340x^196+204x^200+440x^201+40x^205+600x^206+80x^210+120x^211+28x^220

The gray image is a linear code over GF(5) with n=250, k=5 and d=195.
This code was found by Heurico 1.16 in 50.1 seconds.