The generator matrix

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

generates a code of length 60 over Z5[X]/(X^2) who´s minimum homogenous weight is 235.

Homogenous weight enumerator: w(x)=1x^0+252x^235+1380x^236+200x^240+560x^241+64x^245+240x^246+100x^250+320x^251+4x^255+4x^270

The gray image is a linear code over GF(5) with n=300, k=5 and d=235.
This code was found by Heurico 1.16 in 9.12 seconds.