The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+84x^59+476x^60+1052x^61+2102x^62+3888x^63+5225x^64+6994x^65+8034x^66+9844x^67+8423x^68+7104x^69+4983x^70+3664x^71+1878x^72+924x^73+462x^74+176x^75+112x^76+40x^77+26x^78+8x^79+8x^80+10x^81+8x^82+5x^84+4x^85+1x^86

The gray image is a code over GF(2) with n=536, k=16 and d=236.
This code was found by Heurico 1.16 in 40.9 seconds.