The generator matrix

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

generates a code of length 57 over Z5[X]/(X^2) who´s minimum homogenous weight is 215.

Homogenous weight enumerator: w(x)=1x^0+736x^215+3004x^220+3460x^225+4104x^230+3392x^235+836x^240+36x^245+20x^250+16x^255+8x^260+8x^265+4x^275

The gray image is a linear code over GF(5) with n=285, k=6 and d=215.
This code was found by Heurico 1.16 in 0.417 seconds.