The generator matrix

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

generates a code of length 62 over Z5[X]/(X^2) who´s minimum homogenous weight is 235.

Homogenous weight enumerator: w(x)=1x^0+424x^235+360x^236+400x^238+1536x^240+1040x^241+520x^243+1860x^245+1100x^246+540x^248+2068x^250+1360x^251+760x^253+1700x^255+1020x^256+280x^258+460x^260+120x^261+16x^265+28x^270+4x^275+12x^280+8x^285+4x^295+4x^300

The gray image is a linear code over GF(5) with n=310, k=6 and d=235.
This code was found by Heurico 1.16 in 0.46 seconds.