The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^77+933x^78+1374x^79+2334x^80+2946x^81+3464x^82+3464x^83+4357x^84+3168x^85+3323x^86+2444x^87+2167x^88+1168x^89+637x^90+380x^91+239x^92+56x^93+57x^94+44x^95+10x^96+18x^97+9x^98+4x^99+4x^100+1x^102+2x^103

The gray image is a code over GF(2) with n=672, k=15 and d=308.
This code was found by Heurico 1.16 in 17.9 seconds.