The generator matrix

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

generates a code of length 59 over Z5[X]/(X^2) who´s minimum homogenous weight is 226.

Homogenous weight enumerator: w(x)=1x^0+660x^226+980x^227+1060x^228+760x^229+24x^230+740x^231+1200x^232+1060x^233+1200x^234+32x^235+740x^236+1300x^237+800x^238+420x^239+40x^240+660x^241+880x^242+580x^243+320x^244+28x^245+700x^246+640x^247+500x^248+300x^249

The gray image is a linear code over GF(5) with n=295, k=6 and d=226.
This code was found by Heurico 1.16 in 47.6 seconds.