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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+144x^79+412x^80+294x^81+560x^82+358x^83+651x^84+352x^85+551x^86+248x^87+311x^88+88x^89+71x^90+48x^91+1x^92+2x^105+2x^107+1x^114+1x^126

The gray image is a code over GF(2) with n=672, k=12 and d=316.
This code was found by Heurico 1.16 in 0.812 seconds.