The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^77+380x^78+776x^79+1104x^80+1546x^81+1656x^82+1912x^83+1850x^84+1950x^85+1661x^86+1360x^87+820x^88+596x^89+283x^90+134x^91+94x^92+50x^93+40x^94+20x^95+28x^96+18x^97+10x^98+6x^99+6x^100+2x^101+1x^104+1x^106+1x^110

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 5.2 seconds.