The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+506x^77+1733x^78+3434x^79+5789x^80+7960x^81+10789x^82+12810x^83+14849x^84+15278x^85+15588x^86+13116x^87+10864x^88+7474x^89+4835x^90+3014x^91+1655x^92+720x^93+341x^94+146x^95+80x^96+46x^97+26x^98+4x^99+10x^100+4x^103

The gray image is a code over GF(2) with n=680, k=17 and d=308.
This code was found by Heurico 1.16 in 212 seconds.