The generator matrix

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

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+142x^53+272x^54+324x^55+614x^56+394x^57+766x^58+408x^59+541x^60+242x^61+134x^62+88x^63+63x^64+50x^65+27x^66+12x^67+13x^68+4x^69+1x^90

The gray image is a code over GF(2) with n=464, k=12 and d=212.
This code was found by Heurico 1.16 in 0.407 seconds.