The generator matrix

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

generates a code of length 63 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+100x^54+532x^55+2224x^56+4108x^57+8452x^58+13372x^59+21439x^60+27092x^61+34528x^62+36420x^63+36704x^64+28072x^65+21606x^66+12952x^67+7908x^68+3556x^69+1762x^70+720x^71+370x^72+148x^73+46x^74+4x^75+21x^76+2x^78+3x^80+2x^88

The gray image is a code over GF(2) with n=504, k=18 and d=216.
This code was found by Heurico 1.16 in 540 seconds.