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

generates a code of length 60 over Z5[X]/(X^2) who´s minimum homogenous weight is 227.

Homogenous weight enumerator: w(x)=1x^0+280x^227+460x^229+180x^230+640x^231+1540x^232+1180x^234+184x^235+420x^236+1560x^237+900x^239+84x^240+400x^241+2080x^242+1820x^244+32x^245+880x^246+1600x^247+640x^249+44x^250+160x^251+440x^252+36x^255+20x^260+16x^265+12x^270+4x^275+8x^280+4x^290

The gray image is a linear code over GF(5) with n=300, k=6 and d=227.
This code was found by Heurico 1.16 in 28.4 seconds.