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  4  1  1  4  1  2  1  1  4  1  4  2  2
 0 12  0  4  0  0  4 12  8  0 12 12  8  0  4  4  8  4  4  0  4  4  8  0  0  4 12 12  0  4  0  0  0  0  8  8 12  4  8  8  4 12  4  8  8 12  4  4 12  4  8  8  8  4 12 12  8  8 12  4  4  8  0
 0  0 12  4  0 12  4  0  4  0  4  8  4  0 12  8 12  4  8  0  0 12  8  4 12  4  4  8  8  0  0  4  8 12  8  4  0  0  0  0  4  4  8 12  4  4  8 12  8 12  8 12  0  4  0  8 12  0  0  4 12  4 12
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0  8  8  0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8
 0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  8  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  8  8  8  8  8  8  8  0  0  8  0  0  8  8  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+132x^58+20x^59+94x^60+212x^61+328x^62+584x^63+262x^64+168x^65+112x^66+36x^67+18x^68+4x^69+56x^70+8x^72+12x^74+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 21.6 seconds.