The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+102x^78+302x^79+205x^80+382x^81+227x^82+234x^83+190x^84+224x^85+100x^86+72x^87+1x^88+1x^90+2x^93+1x^94+2x^96+1x^112+1x^118

The gray image is a code over GF(2) with n=656, k=11 and d=312.
This code was found by Heurico 1.16 in 0.543 seconds.