The generator matrix

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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+30x^82+302x^83+717x^84+1126x^85+2022x^86+2890x^87+3660x^88+5224x^89+6094x^90+7190x^91+7305x^92+7238x^93+6221x^94+5296x^95+3604x^96+2464x^97+1739x^98+1036x^99+589x^100+324x^101+166x^102+126x^103+75x^104+50x^105+15x^106+4x^107+13x^108+1x^110+4x^111+2x^112+6x^113+2x^116

The gray image is a code over GF(2) with n=736, k=16 and d=328.
This code was found by Heurico 1.16 in 74.2 seconds.