The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^77+373x^78+836x^79+1393x^80+1878x^81+2474x^82+3682x^83+3786x^84+3958x^85+3786x^86+3662x^87+2461x^88+1678x^89+1090x^90+698x^91+342x^92+216x^93+80x^94+70x^95+40x^96+26x^97+25x^98+12x^99+8x^100+6x^101+8x^102+1x^104+2x^105+2x^106+1x^110+1x^114

The gray image is a code over GF(2) with n=680, k=15 and d=308.
This code was found by Heurico 1.16 in 77.8 seconds.