The generator matrix

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

generates a code of length 63 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+314x^60+392x^61+372x^62+96x^63+314x^64+224x^65+216x^66+49x^68+56x^69+4x^70+8x^76+1x^80+1x^84

The gray image is a code over GF(2) with n=504, k=11 and d=240.
This code was found by Heurico 1.16 in 0.172 seconds.