The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+170x^76+506x^77+940x^78+1568x^79+2648x^80+3834x^81+5323x^82+6512x^83+7818x^84+7682x^85+7474x^86+6520x^87+5267x^88+3468x^89+2408x^90+1522x^91+791x^92+430x^93+300x^94+150x^95+100x^96+42x^97+29x^98+14x^99+5x^100+6x^101+2x^102+2x^103+4x^106

The gray image is a code over GF(2) with n=680, k=16 and d=304.
This code was found by Heurico 1.16 in 67.8 seconds.