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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+62x^77+314x^78+424x^79+484x^80+724x^81+846x^82+942x^83+972x^84+928x^85+805x^86+516x^87+339x^88+300x^89+166x^90+118x^91+81x^92+34x^93+55x^94+32x^95+26x^96+16x^97+6x^98+1x^124

The gray image is a code over GF(2) with n=672, k=13 and d=308.
This code was found by Heurico 1.16 in 1.76 seconds.