The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+365x^86+328x^87+249x^88+238x^89+220x^90+280x^91+324x^92+6x^93+6x^94+12x^95+17x^96+1x^132+1x^138

The gray image is a code over GF(2) with n=712, k=11 and d=344.
This code was found by Heurico 1.16 in 0.525 seconds.