The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^77+851x^78+1164x^79+1800x^80+1640x^81+2276x^82+1636x^83+1968x^84+1374x^85+1214x^86+714x^87+769x^88+340x^89+270x^90+96x^91+48x^92+40x^93+11x^94+6x^95+5x^96+2x^98+1x^104

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 3.61 seconds.