The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+193x^74+748x^75+1605x^76+2712x^77+4322x^78+5444x^79+6674x^80+7300x^81+7964x^82+7648x^83+6649x^84+4964x^85+4070x^86+2396x^87+1291x^88+838x^89+373x^90+136x^91+56x^92+56x^93+68x^94+10x^95+10x^96+2x^97+2x^98+2x^100+2x^103

The gray image is a code over GF(2) with n=656, k=16 and d=296.
This code was found by Heurico 1.16 in 52 seconds.