The generator matrix

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

generates a code of length 60 over Z5[X]/(X^2) who´s minimum homogenous weight is 225.

Homogenous weight enumerator: w(x)=1x^0+860x^225+1440x^226+1260x^227+180x^228+3324x^230+4600x^231+2860x^232+680x^233+5300x^235+7100x^236+4020x^237+480x^238+5960x^240+8400x^241+4280x^242+480x^243+6388x^245+7800x^246+3640x^247+480x^248+3336x^250+3160x^251+1440x^252+200x^253+384x^255+36x^260+16x^265+8x^270+4x^275+8x^280

The gray image is a linear code over GF(5) with n=300, k=7 and d=225.
This code was found by Heurico 1.16 in 12 seconds.