The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+254x^56+476x^57+1250x^58+1656x^59+2673x^60+3452x^61+4384x^62+4616x^63+4273x^64+3744x^65+2716x^66+1464x^67+914x^68+348x^69+288x^70+104x^71+95x^72+12x^73+24x^74+12x^76+4x^78+1x^80+6x^82+1x^84

The gray image is a code over GF(2) with n=504, k=15 and d=224.
This code was found by Heurico 1.16 in 81.5 seconds.