The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^59+435x^60+1118x^61+2110x^62+3908x^63+5026x^64+7078x^65+8684x^66+9032x^67+8316x^68+7218x^69+5407x^70+3526x^71+1716x^72+1040x^73+443x^74+196x^75+81x^76+52x^77+19x^78+10x^79+9x^80+6x^81+5x^82+8x^83+4x^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 41.1 seconds.