The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  4  0  1  1  2  0  1  1  1  1  0  1  2  1 12  1  1  8  8  1  1  1  8  2  8  1  1  2 12  1 12  4  1  1  0  1  1  1  0
 0  2  0  6  0  6  8 10  8  6  8  2  0 14  2  4 12 12 14  2 12  4  6 10 12 14  2  6  2  2  8  4 14  2  0  2  2  6  2 12  2  2  2  6  6  2  2  4  6  8  2 10  2 10  4  6  2 14  2  4  2  6  4  6 14  2  2
 0  0 12  0  0  0 12  0  0  0  8  0 12  0  0  0  8  8  4 12  8 12 12  4  4 12 12 12 12  0 12 12 12  8 12  4 12  4  4 12  8  0  8 12  8  0  8  4  8 12  8 12  0  8  8  0  4  8  8  0 12 12  8  4  8  0  4
 0  0  0 12  0  0  0  4  0  0  0  8  0  4  4  4  4  4 12  8 12 12  4  8  4  8 12  0  4  8 12  0  4 12  4  8  0  4  0  8  8  0  0  8  0  0 12 12  4  4  8  0 12  4  0 12  0  8  4  8 12 12  0  8 12 12  4
 0  0  0  0 12  0  4  0  8  4  4  4  4 12 12  0  4 12  4  8  0  0 12  8  4  8 12  0  4 12  4  8  0  0  8 12  4  0  4 12 12  0 12 12 12 12 12  4  4  4  8 12  0  0  8  8  4  0  0  4  8  4  8  4  4  8  0
 0  0  0  0  0 12  0 12 12  4  4  0  4  0  4  8  0 12  0  8  4 12 12 12 12  0  4  4  8 12  0 12 12 12  8  4  8  0  8  8  0 12  4  8 12  0  8  0  4 12  8  8  8  0  4  0  0  0 12  8  8  0  4 12  0  0  8

generates a code of length 67 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+74x^57+144x^58+254x^59+492x^60+722x^61+1131x^62+1692x^63+2551x^64+3174x^65+3852x^66+4638x^67+3978x^68+3144x^69+2572x^70+1662x^71+1070x^72+678x^73+351x^74+218x^75+143x^76+62x^77+73x^78+44x^79+18x^80+18x^81+4x^82+2x^83+2x^84+2x^87+1x^90+1x^92

The gray image is a code over GF(2) with n=536, k=15 and d=228.
This code was found by Heurico 1.16 in 23.3 seconds.