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

generates a code of length 58 over Z5[X]/(X^2) who´s minimum homogenous weight is 220.

Homogenous weight enumerator: w(x)=1x^0+1288x^220+3112x^225+3500x^230+4272x^235+2852x^240+520x^245+28x^250+16x^255+20x^260+4x^265+8x^270+4x^285

The gray image is a linear code over GF(5) with n=290, k=6 and d=220.
This code was found by Heurico 1.16 in 1.26 seconds.