The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+164x^79+496x^80+954x^81+1652x^82+2686x^83+3789x^84+5102x^85+6162x^86+8088x^87+7757x^88+8086x^89+6250x^90+5114x^91+3621x^92+2396x^93+1247x^94+826x^95+513x^96+244x^97+156x^98+88x^99+74x^100+26x^101+15x^102+10x^103+2x^104+8x^105+4x^106+1x^108+2x^110+1x^112+1x^116

The gray image is a code over GF(2) with n=704, k=16 and d=316.
This code was found by Heurico 1.16 in 70.7 seconds.