The generator matrix

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

generates a code of length 63 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+290x^59+523x^60+648x^61+504x^62+408x^63+412x^64+540x^65+404x^66+202x^67+45x^68+72x^69+12x^70+12x^71+16x^72+4x^73+1x^80+2x^84

The gray image is a code over GF(2) with n=504, k=12 and d=236.
This code was found by Heurico 1.16 in 0.406 seconds.