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  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  0  1  4  0  2  4  2  1
 0  2 12  6  0  6 12 10  6  0 10 12  8 10  4  6 14  0 12 10  0  6 12 10  0  6 12 10  8 14  4  2  0  6 12 10  4 14  0  2  8  6  4 10  8 14 12  2  0  8  6 14  8  6  0 14 12 12  4  4 10 10  2  2  0  0  8  8  6  6 14 14  0  8  8  6  2  0 12  4 10 12  6 12
 0  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  8  0  8  8  8  8  0  0  8  8  0  0  0  8  8  0  0  0  0  0  8  8  0  8  8  8  0  0  8  0  0  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  8  0  0  8  0  8  0  8  8  0  8  8  0  0  8  8  8  0  8  0  0  8  8  8  8  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  0  0  8  0  0  0  8  8  0  8  8  0  0  8  0  8  8  0  0  0  8  0  8  0  8  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  8  0  0  0  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  0  0  8  0  0  8  0  0  8  8  8  8  0  8  0  8  8  8  0  0  0  0  8  8  8  0  8  0  8  0  0  0  8  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+38x^79+213x^80+76x^81+236x^82+278x^83+378x^84+248x^85+258x^86+98x^87+174x^88+28x^89+15x^90+2x^91+2x^92+2x^94+1x^154

The gray image is a code over GF(2) with n=672, k=11 and d=316.
This code was found by Heurico 1.16 in 0.674 seconds.