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

generates a code of length 63 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+119x^58+8x^59+162x^60+176x^61+376x^62+400x^63+388x^64+176x^65+115x^66+8x^67+81x^68+18x^70+4x^72+12x^74+3x^76+1x^112

The gray image is a code over GF(2) with n=504, k=11 and d=232.
This code was found by Heurico 1.16 in 127 seconds.