The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+64x^83+519x^84+532x^85+940x^86+744x^87+1199x^88+524x^89+1099x^90+672x^91+831x^92+412x^93+434x^94+68x^95+48x^96+20x^97+15x^98+16x^99+15x^100+8x^101+8x^102+4x^103+8x^104+8x^105+2x^112+1x^124

The gray image is a code over GF(2) with n=712, k=13 and d=332.
This code was found by Heurico 1.16 in 1.81 seconds.