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

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

Homogenous weight enumerator: w(x)=1x^0+198x^59+638x^60+796x^61+1410x^62+1786x^63+2668x^64+3280x^65+3789x^66+4014x^67+3856x^68+3096x^69+2586x^70+1654x^71+1216x^72+716x^73+525x^74+230x^75+155x^76+60x^77+40x^78+36x^79+9x^80+4x^81+2x^83+1x^84+2x^86

The gray image is a code over GF(2) with n=536, k=15 and d=236.
This code was found by Heurico 1.16 in 41.4 seconds.