The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+184x^78+652x^79+1414x^80+1616x^81+1984x^82+1946x^83+1942x^84+1774x^85+1298x^86+1096x^87+1025x^88+596x^89+418x^90+188x^91+136x^92+46x^93+32x^94+16x^95+10x^96+4x^99+3x^102+2x^107+1x^110

The gray image is a code over GF(2) with n=672, k=14 and d=312.
This code was found by Heurico 1.16 in 3.77 seconds.