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

generates a code of length 59 over Z5[X]/(X^2) who´s minimum homogenous weight is 225.

Homogenous weight enumerator: w(x)=1x^0+976x^225+400x^226+1000x^227+1832x^230+520x^231+840x^232+1732x^235+540x^236+1480x^237+2132x^240+760x^241+1520x^242+1236x^245+280x^246+160x^247+144x^250+28x^255+8x^260+12x^265+8x^270+8x^275+4x^280+4x^285

The gray image is a linear code over GF(5) with n=295, k=6 and d=225.
This code was found by Heurico 1.16 in 21.5 seconds.