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

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

Homogenous weight enumerator: w(x)=1x^0+63x^76+100x^77+276x^78+266x^79+680x^80+390x^81+1161x^82+576x^83+1313x^84+554x^85+1204x^86+350x^87+625x^88+194x^89+200x^90+62x^91+52x^92+24x^93+23x^94+24x^95+8x^96+14x^97+10x^98+2x^99+8x^100+2x^101+5x^102+2x^104+2x^105+1x^122

The gray image is a code over GF(2) with n=672, k=13 and d=304.
This code was found by Heurico 1.16 in 2.56 seconds.