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  X  1  1  X  1  1  X  1  1  X  X  1  X  X  1 X^2  X  X  X  1 X^2  X  X  1  X X^2  2 X^2  0  X X^2  X X^2 X^2  2  X  2  0 X^2  2  1
 0  2  0  2  0  2  0  2  0  2  0  2  0  2  0  2  0  2  0  2  0  2  2  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  0  2  0  2  2  0  2  2  0  0  2  0  0  0  2  2  0  0  0

generates a code of length 63 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+1x^64+28x^65+2x^66

The gray image is a code over GF(2) with n=504, k=5 and d=256.
This code was found by Heurico 1.16 in 0.141 seconds.