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  2  1  1  1  1  1  2  1  1  1  8  1  1  4  1 12  1  1  8  2  2  8  8  4 12  1  2  1  2
 0  2  0  2  8  0  6 14  0  8  6  2  0 10  0 14 10  4 10  4  2 14 12  4  4  8  6  6 12  8  6  6  4 10  6 10  0  4 10 10 10 10  4 14 12  4  6  4 12  2 14 12  2  6 10  2  2  2  0  2 12 14  2
 0  0  2  2  0 14  6  8  4 10  2  8  4 14 14 12 12  6 14 12 12  2  8 14 14 12  2 12  0  6  8  6 14  6  2  4 10  4  0 14  0  2  2  8  2  0 12  2  0 10 14 12  4  2  2  0  8  0  2 10 10 10  0
 0  0  0  4  4  4  0  4 12  4  8  4  0  4  8  8 12 12  8 12  8  4  8  8  0  4 12  4  0  0  0  8  4  0  4  4 12  0  8 12  0  0  8  8  0  4 12  8 12  4  4  8  0  0  4  8 12  0  4  8  0 12 12

generates a code of length 63 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+220x^58+198x^59+395x^60+438x^61+633x^62+608x^63+499x^64+332x^65+317x^66+166x^67+123x^68+30x^69+77x^70+20x^71+38x^72+1x^98

The gray image is a code over GF(2) with n=504, k=12 and d=232.
This code was found by Heurico 1.16 in 2.65 seconds.