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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+87x^58+214x^59+531x^60+816x^61+1175x^62+1690x^63+2501x^64+3498x^65+3972x^66+4106x^67+3841x^68+3418x^69+2582x^70+1646x^71+1105x^72+652x^73+374x^74+250x^75+132x^76+58x^77+55x^78+28x^79+17x^80+6x^81+10x^82+2x^83+1x^90

The gray image is a code over GF(2) with n=536, k=15 and d=232.
This code was found by Heurico 1.16 in 20.8 seconds.