The generator matrix

 1  0  0  1  1  1  8  1  1 14  6  1  1  2  1  8  1  1 12  1 14  6  1 10  1  1  1  0 14  1  4  1  1 12  1  1  1 14  1  1 12 12  1  2  0  1  1  1  2  1  1 14  0  1  6  1  1  1  1 10  1  6  1
 0  1  0  4 13  5  1 12  4  4  1  3 15  1 14  1 10  3  1 13  2  1 14  1  7  6  1  2  1  1  1  4  9 10  7 10 11  1  2  3  4  1  2  6  1  9 10  1  4  4 12  1  1  1  6  7  4  8  6  1 15  1  0
 0  0  1  7 15 12  5  2  1  1  0 12  5  9  8  7  3 14 10  9  1 15  2  6  3  9  4  1  2 10  8  6  9  1 10  3  7 13  1  0  1  7 12  1 14 14  6 15  1  8 13 11  5 10  1 14  2  1 10  3 10 14  0
 0  0  0  8  8  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0  0  8  8  8  0  0  0  0  8  8  0  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+69x^58+656x^59+837x^60+1118x^61+1202x^62+1276x^63+798x^64+744x^65+474x^66+416x^67+229x^68+230x^69+86x^70+36x^71+14x^72+4x^73+1x^74+1x^80

The gray image is a code over GF(2) with n=504, k=13 and d=232.
This code was found by Heurico 1.16 in 0.695 seconds.