The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+126x^77+296x^78+900x^79+826x^80+1764x^81+1515x^82+2130x^83+1634x^84+2176x^85+1262x^86+1696x^87+776x^88+660x^89+225x^90+184x^91+73x^92+58x^93+16x^94+12x^95+13x^96+16x^97+10x^98+6x^99+4x^100+2x^102+1x^106+1x^108+1x^114

The gray image is a code over GF(2) with n=672, k=14 and d=308.
This code was found by Heurico 1.16 in 4.92 seconds.