The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+112x^67+620x^68+1108x^69+1792x^70+1832x^71+2238x^72+1936x^73+1888x^74+1468x^75+1357x^76+836x^77+549x^78+336x^79+182x^80+24x^81+42x^82+28x^83+16x^84+17x^86+1x^88+1x^92

The gray image is a code over GF(2) with n=584, k=14 and d=268.
This code was found by Heurico 1.16 in 3.03 seconds.