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

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

Homogenous weight enumerator: w(x)=1x^0+62x^86+84x^87+211x^88+360x^89+170x^90+52x^91+51x^92+16x^93+16x^94+1x^172

The gray image is a code over GF(2) with n=712, k=10 and d=344.
This code was found by Heurico 1.16 in 0.431 seconds.