The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+134x^77+316x^78+434x^79+641x^80+346x^81+424x^82+380x^83+628x^84+336x^85+242x^86+130x^87+42x^88+24x^89+6x^92+2x^93+2x^94+6x^97+1x^112+1x^120

The gray image is a code over GF(2) with n=656, k=12 and d=308.
This code was found by Heurico 1.16 in 0.692 seconds.