The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+156x^59+976x^60+2780x^61+4784x^62+6966x^63+10660x^64+13838x^65+16282x^66+17534x^67+17181x^68+14172x^69+10995x^70+6844x^71+3902x^72+2198x^73+1034x^74+428x^75+205x^76+84x^77+23x^78+22x^79+3x^80+2x^82+2x^83

The gray image is a code over GF(2) with n=536, k=17 and d=236.
This code was found by Heurico 1.16 in 157 seconds.