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

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+680x^226+740x^227+1400x^228+800x^229+20x^230+880x^231+900x^232+1280x^233+660x^234+44x^235+940x^236+720x^237+1580x^238+500x^239+28x^240+760x^241+600x^242+600x^243+320x^244+32x^245+740x^246+540x^247+640x^248+220x^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 71.7 seconds.