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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+26x^76+110x^77+150x^78+160x^79+527x^80+156x^81+622x^82+72x^83+42x^84+70x^85+22x^86+56x^87+12x^88+16x^89+5x^90+1x^154

The gray image is a code over GF(2) with n=648, k=11 and d=304.
This code was found by Heurico 1.16 in 0.734 seconds.