The generator matrix

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

generates a code of length 58 over Z5[X]/(X^2) who´s minimum homogenous weight is 223.

Homogenous weight enumerator: w(x)=1x^0+1940x^223+1160x^224+124x^225+2720x^228+1520x^229+236x^230+2300x^233+980x^234+160x^235+1480x^238+840x^239+60x^240+1560x^243+500x^244+40x^245+4x^255

The gray image is a linear code over GF(5) with n=290, k=6 and d=223.
This code was found by Heurico 1.16 in 17.2 seconds.