The generator matrix

 1  0  0  1  1  1 10 14  2  8  1  1  1  1  4  1 12  4  1  1  1  1  1  1  2  1  2  4  1  1  4  1  4 10 10 14  1  1  6  1  1  1  2  1  2  1 14  4  1  1 14 10  1  1  1 12  1  1  1  1  1 12 12  6  1  1  1 12 12  8  6  0  6  1  1  1  0 10  0  2 14  1  1  6  1  2  1  1  1
 0  1  0  0  5  5  1 14  1  1  8  3 15 10  2  2  1  1 11  6  7  6  9  1  4  0  1  1  4  7 12  7  1  1  6  1 13  4  1 12  2 15 10  2  1 14  1  6  5 13  1 12  3  4 13  1  8 10  6  1  1 12  1  1  3 14 11  1  1  1  1  1  1  0  0  6  1  1  1  1  1  6  9  1  4  1  1 11 14
 0  0  1  3 11  8  7  1  2 13 10 15  6  9  1  7 10 11  1 14  8 12  1  6  1  9  8  1 12  4  1 14 11 14  1 13 13  5  1 15  8 11  1  2 15  3  4  1  2  0 10  1 10 14 15  6  5  9 10  8  6  1 12 11 11  1 12  5  7 15  7 12  9  8 14  5  5  2 15  9  7 11 13  4  9 12  3  9  2
 0  0  0  8  8  0  8  8  8  0  8  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  0  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0  0  8  0  8  8  0  0  0  8  0

generates a code of length 89 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+204x^84+652x^85+1088x^86+1208x^87+1048x^88+972x^89+656x^90+660x^91+423x^92+464x^93+290x^94+164x^95+176x^96+88x^97+60x^98+16x^99+16x^100+2x^102+2x^104+1x^108+1x^112

The gray image is a code over GF(2) with n=712, k=13 and d=336.
This code was found by Heurico 1.16 in 1.44 seconds.