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

generates a code of length 60 over Z5[X]/(X^2) who´s minimum homogenous weight is 229.

Homogenous weight enumerator: w(x)=1x^0+500x^229+492x^230+280x^231+720x^232+400x^233+1720x^234+1188x^235+180x^236+1120x^237+140x^238+1480x^239+1008x^240+180x^241+860x^242+240x^243+1000x^244+668x^245+180x^246+440x^247+100x^248+980x^249+752x^250+180x^251+360x^252+120x^253+320x^254+16x^255

The gray image is a linear code over GF(5) with n=300, k=6 and d=229.
This code was found by Heurico 1.16 in 0.356 seconds.