The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  0  1  2  1  2  2  1  1  1  4 12  1  2  1  1 12  1  4  1  2  1  2  1  1  1  1  1  8  1 12  1  1  1  1  2  2  8  1  0  2  1  1  1  1  1  2  1  2  1  2  2  1
 0  2  0  2  0  8  6 14  0  0  2  6 10  8  0  6  4  4 14 10 10 14 12  4  8 14 12 14 10  4  2  4 14  2  6  0  4 10 14 14 10  8  8  2  0 12  6  4  2  2  0  4  2 12  2  0  2 12  8 14  2  2  8  6  0  0  4  2 10  2 10  2 14  6  6 14 14  6 14 10 10 12  2  0  4
 0  0  2  2  0  6 14  8  0  2 10  0  0  8  6  6 14 12 10  8 12  2  0 10 14  8 12  6  6 14  0  2 14  8  4 14  8  6  8  6 12  8  2  4  4  6  4  2 14 12  2  2 12 12  8  2  6  0 14  2  6  6  2  2  4  4  0 12  8  4 10 12  2  4  6  8  0  0  0 14 14 14  0  6 12
 0  0  0  4  0  0 12  0 12 12  8 12 12 12 12  0  4 12  8  4 12  4  8  8  8  0  8  4  0  4  8  0  4 12  4  8 12  8  0  8  0  4  8 12  8 12 12  4  4  0 12  8  4  4  0  4 12  8  4  0 12  4  4  4 12  4  0  0 12  4  4  8  8  8  4  4  4  8 12  0  4  4  0  0  0
 0  0  0  0 12  4  4  4 12  8  8  4  8  8  4  4  0  4  0 12  0 12  0  4  0  8  4  0  4  4 12  8 12 12  4  4  8  8 12  8 12  0  4  8  8  4  8  8  4  0  8 12  4  4  0  8  0 12 12  0  8 12  4  0  4  0  4  4  8  4  4 12  4 12  4  4  0 12  8 12  4 12  0  8  4

generates a code of length 85 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+130x^77+288x^78+532x^79+638x^80+1142x^81+1190x^82+1668x^83+1819x^84+2086x^85+1806x^86+1532x^87+1069x^88+834x^89+499x^90+440x^91+218x^92+224x^93+75x^94+72x^95+58x^96+28x^97+5x^98+12x^99+2x^100+7x^102+2x^104+4x^105+2x^106+1x^124

The gray image is a code over GF(2) with n=680, k=14 and d=308.
This code was found by Heurico 1.16 in 7.7 seconds.