The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+65x^58+846x^59+2413x^60+4884x^61+8528x^62+14186x^63+20788x^64+27472x^65+33512x^66+35624x^67+34032x^68+28794x^69+21345x^70+14070x^71+7969x^72+4028x^73+1945x^74+1026x^75+383x^76+112x^77+65x^78+20x^79+12x^80+4x^81+12x^82+4x^83+2x^84+2x^85

The gray image is a code over GF(2) with n=536, k=18 and d=232.
This code was found by Heurico 1.16 in 571 seconds.