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  4  1  8  1  0  0  1  2  1  2  4  1  2  1  1  0  1  1  8  1  2  1  2  1  1  2  2  1  1 12  1  1  4  1  2  1  2  2  1  2  1  1  1  1  1  1  2  0  1 12  1  0
 0  2  0  2  0  0 14 14  4  6  2  4 12 10 14 12 12  2  8  6 12  2 10 12  0 14  8  6 10  6  8  6  2  4  8 14  2  2  8 14  8  8  4 14 10 14  2  2 12  4  2 14 10  6  6  2  4  6  2 14  8  2  8  0  2  8 14  4 10  6  6  6 12  8 10  6  8  4  0 12 14  4  6  2
 0  0  2  2 12  6  6  4  4  0  6 10  8  4 10  6  2  2  0 12 14  0  6  8  4  0  6 14  4  4 14 10  8 12  2  2  0  6  4  2  8 14  2 14  4  2 12  2  8  0 12  0 12  2 12  2 14 10 12  0  2 12  4 10  6  0  6  2  2  8  0  2  0  8 14 14 10  0 14  2  0  2  2 14
 0  0  0  4  0  0  4  8  0  0 12  8  0  8 12  8  4  0 12  4  4  4  8 12  4 12 12  8 12  8  4 12 12  4  4  8  8  0  8  0  0  0  8  4  4  8  0  4  0  4  4  8  4  0  0 12  0  4  8  0  8 12  8 12  4  4 12  0  4  8  8  0  8 12  8 12  4  8 12  0  4  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  0  8  0  0  8  8  8  8  0  8  8  0  8  8  0  0  0  0  0  0  8  8  8
 0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  0  8  8  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  0  0  0  8  0  8  8  0  8  8  0  0  0  0  8  8  0  8  0  8  0  0  8  0  0  0  0

generates a code of length 84 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+156x^76+228x^77+616x^78+620x^79+1004x^80+1536x^81+1394x^82+1928x^83+1636x^84+2248x^85+1392x^86+1264x^87+667x^88+592x^89+400x^90+200x^91+222x^92+68x^93+118x^94+20x^95+45x^96+12x^98+10x^100+2x^102+2x^104+2x^106+1x^120

The gray image is a code over GF(2) with n=672, k=14 and d=304.
This code was found by Heurico 1.16 in 7.82 seconds.