The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+98x^63+304x^64+328x^65+202x^66+312x^67+233x^68+164x^69+172x^70+134x^71+43x^72+52x^73+2x^82+1x^84+2x^88

The gray image is a code over GF(2) with n=536, k=11 and d=252.
This code was found by Heurico 1.16 in 0.328 seconds.