The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+542x^78+1966x^79+3164x^80+4438x^81+5191x^82+6878x^83+7070x^84+7922x^85+6938x^86+6796x^87+5045x^88+3950x^89+2514x^90+1540x^91+836x^92+478x^93+129x^94+62x^95+40x^96+12x^97+13x^98+6x^99+4x^100+1x^102

The gray image is a code over GF(2) with n=680, k=16 and d=312.
This code was found by Heurico 1.16 in 47.8 seconds.