The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+374x^53+1044x^54+1588x^55+2186x^56+2272x^57+2177x^58+2074x^59+1870x^60+1156x^61+744x^62+458x^63+262x^64+114x^65+26x^66+22x^67+8x^68+2x^69+2x^71+1x^72+2x^73+1x^74

The gray image is a code over GF(2) with n=464, k=14 and d=212.
This code was found by Heurico 1.16 in 28.2 seconds.