The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  1  1  1  2  8  1  1  1  2  1 12  1  1  2  1  1  1  1  1  1  1  2  2  1  1  2  8  2  1  2  1  1 12  1  1  2  1  8  8  0  0  1  1  2  1  1  8  8  1  1
 0  2  0  6  4  6 12  2  8  6  0  6  4  4  2 10 14  0 12  2  8 10  6  0 14  8  2 12  2  2  6  0  6  4 12 14  2  0 14  6  2 12  2  0  2  6 14  0  2 14  6  0  4 10 10  8  4 10  2 10  6 10  2 14  2 10  8  2  8  2  2  2  2  4 10  2  4  6  2  2  6  0
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  0  0  8  8  8  8 12  4  4  4 12  4  4 12 12  4  0  8 12  4  8  0  0  4  4 12  4  8  8  0  4  4  0  8  4 12  0  8  4  4  8  4  8  4  0  0  4  4  8  8  0  0  0  4 12 12  0  8  0  0  8  0  4  0 12  8
 0  0  0 12  0  0  8 12 12 12 12  8  4 12  0  4 12  8  0 12 12  0  4  4  0  0 12  4  8  4  4  0  0  4  8  8  4  0 12  0  8  4 12  0  8  0  4  4 12  4  8  8 12  8  4  4  8  4 12  4  8 12  0  8  8  8 12  0  8  0  0  8  8 12  4 12  4  8  8 12  8  0
 0  0  0  0  8  0  8  8  0  8  0  0  8  8  0  8  8  8  0  0  0  8  0  0  8  0  0  8  8  8  0  8  8  8  0  0  0  8  0  0  0  0  8  8  0  0  0  8  0  8  8  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  8  8  0  0  8  8  8  0  0  0  8  8  0  8  8  8  0  0  8  0  0  0  0  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+56x^74+156x^75+207x^76+374x^77+460x^78+574x^79+821x^80+994x^81+1038x^82+970x^83+822x^84+534x^85+436x^86+322x^87+181x^88+114x^89+48x^90+10x^91+9x^92+20x^93+4x^94+16x^95+2x^96+12x^97+2x^98+2x^100+4x^102+2x^104+1x^120

The gray image is a code over GF(2) with n=656, k=13 and d=296.
This code was found by Heurico 1.16 in 2.48 seconds.