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

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

Homogenous weight enumerator: w(x)=1x^0+159x^58+172x^59+701x^60+616x^61+1375x^62+1508x^63+2825x^64+2912x^65+4184x^66+3964x^67+4220x^68+2872x^69+2916x^70+1588x^71+1186x^72+464x^73+569x^74+184x^75+183x^76+48x^77+61x^78+8x^79+28x^80+16x^82+8x^84

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.