The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+422x^51+1865x^52+4132x^53+6808x^54+10602x^55+13666x^56+18222x^57+19324x^58+18504x^59+14438x^60+10588x^61+6350x^62+3644x^63+1511x^64+608x^65+260x^66+74x^67+17x^68+16x^69+6x^70+2x^71+6x^72+2x^73+4x^74

The gray image is a code over GF(2) with n=464, k=17 and d=204.
This code was found by Heurico 1.16 in 116 seconds.