The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^77+787x^78+1190x^79+1862x^80+1708x^81+2051x^82+1926x^83+1870x^84+1226x^85+1221x^86+910x^87+726x^88+300x^89+210x^90+90x^91+75x^92+30x^93+18x^94+12x^95+9x^96+4x^97+1x^98+1x^100

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 3.62 seconds.