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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+210x^81+266x^82+674x^83+671x^84+1108x^85+1107x^86+1714x^87+1761x^88+2066x^89+1375x^90+1618x^91+1046x^92+986x^93+594x^94+444x^95+228x^96+234x^97+64x^98+82x^99+23x^100+56x^101+15x^102+10x^103+13x^104+10x^105+2x^106+2x^107+2x^109+1x^112+1x^122

The gray image is a code over GF(2) with n=712, k=14 and d=324.
This code was found by Heurico 1.16 in 47.8 seconds.