The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+448x^75+1674x^76+3282x^77+5659x^78+7868x^79+10764x^80+12830x^81+15479x^82+15488x^83+15767x^84+12818x^85+10781x^86+7574x^87+4983x^88+2778x^89+1535x^90+736x^91+333x^92+142x^93+80x^94+10x^95+12x^96+20x^97+2x^98+4x^99+2x^100+2x^101

The gray image is a code over GF(2) with n=664, k=17 and d=300.
This code was found by Heurico 1.16 in 205 seconds.