The generator matrix

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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+66x^86+304x^87+247x^88+348x^89+169x^90+336x^91+221x^92+280x^93+48x^94+4x^95+2x^96+4x^97+4x^98+4x^99+8x^100+1x^132+1x^138

The gray image is a code over GF(2) with n=720, k=11 and d=344.
This code was found by Heurico 1.16 in 0.641 seconds.