The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^58+250x^59+771x^60+1208x^61+2390x^62+3294x^63+5124x^64+6536x^65+8491x^66+9022x^67+8718x^68+7040x^69+5375x^70+2990x^71+1964x^72+1034x^73+638x^74+270x^75+173x^76+76x^77+74x^78+8x^79+15x^80+10x^81+1x^82+6x^83+2x^84+1x^86

The gray image is a code over GF(2) with n=536, k=16 and d=232.
This code was found by Heurico 1.16 in 49.5 seconds.