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

generates a code of length 57 over Z5[X]/(X^2) who´s minimum homogenous weight is 205.

Homogenous weight enumerator: w(x)=1x^0+88x^205+372x^210+424x^215+424x^220+416x^225+12500x^228+276x^230+284x^235+232x^240+268x^245+164x^250+76x^255+60x^260+24x^265+8x^270+4x^275+4x^285

The gray image is a linear code over GF(5) with n=285, k=6 and d=205.
This code was found by Heurico 1.16 in 0.917 seconds.