The generator matrix

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

generates a code of length 60 over Z5[X]/(X^2) who´s minimum homogenous weight is 230.

Homogenous weight enumerator: w(x)=1x^0+176x^230+152x^235+500x^236+124x^240+2000x^241+56x^245+44x^250+12x^255+12x^260+4x^265+28x^270+8x^275+4x^285+4x^295

The gray image is a linear code over GF(5) with n=300, k=5 and d=230.
This code was found by Heurico 1.16 in 0.0641 seconds.