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

generates a code of length 51 over Z5[X]/(X^2) who´s minimum homogenous weight is 199.

Homogenous weight enumerator: w(x)=1x^0+1080x^199+300x^200+660x^204+136x^205+440x^209+180x^210+320x^214+4x^225+4x^230

The gray image is a linear code over GF(5) with n=255, k=5 and d=199.
This code was found by Heurico 1.16 in 0.0275 seconds.