The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+126x^57+211x^58+502x^59+741x^60+924x^61+1159x^62+1054x^63+1053x^64+888x^65+708x^66+454x^67+185x^68+102x^69+19x^70+36x^71+1x^72+6x^73+7x^74+2x^76+2x^77+6x^78+2x^79+1x^80+1x^82+1x^90

The gray image is a code over GF(2) with n=504, k=13 and d=228.
This code was found by Heurico 1.16 in 1.03 seconds.