The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^77+288x^78+580x^79+320x^80+580x^81+340x^82+614x^83+334x^84+366x^85+200x^86+174x^87+31x^88+60x^89+20x^90+4x^91+2x^93+2x^95+4x^97+2x^99+1x^108+1x^116

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 0.76 seconds.