The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^77+449x^78+840x^79+1258x^80+2128x^81+2646x^82+3444x^83+3847x^84+3842x^85+3797x^86+3354x^87+2465x^88+1930x^89+1073x^90+608x^91+403x^92+240x^93+121x^94+98x^95+40x^96+24x^97+24x^98+8x^99+2x^100+2x^105+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 18 seconds.