The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+364x^77+731x^78+1338x^79+1403x^80+1852x^81+1882x^82+1884x^83+1708x^84+1846x^85+1177x^86+878x^87+606x^88+300x^89+68x^90+136x^91+72x^92+74x^93+10x^94+20x^95+17x^96+12x^97+1x^98+2x^102+1x^106+1x^112

The gray image is a code over GF(2) with n=664, k=14 and d=308.
This code was found by Heurico 1.16 in 63 seconds.