The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+416x^57+993x^58+2266x^59+2848x^60+3840x^61+4086x^62+4504x^63+4098x^64+3492x^65+2515x^66+1930x^67+842x^68+584x^69+168x^70+84x^71+47x^72+36x^73+14x^74+4x^76

The gray image is a code over GF(2) with n=504, k=15 and d=228.
This code was found by Heurico 1.16 in 10.3 seconds.