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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+174x^77+82x^78+220x^79+310x^80+522x^81+293x^82+212x^83+70x^84+110x^85+8x^86+32x^87+2x^88+10x^89+1x^90+1x^152

The gray image is a code over GF(2) with n=648, k=11 and d=308.
This code was found by Heurico 1.16 in 0.721 seconds.