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  1  1  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  8  4  0 12 12 12  4  8  0 12 12 12  0  0  8  8  0  8  0  4  4  4 12  8  4  8  0  4  4 12  0  8  8  8  0  0  0  0  8 12 12 12  4  4  4  0  8  4  8  0  4  4  4 12 12  8  0
 0  0 12  4  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  8  8  4 12  8  0 12  4  0  0 12  4  0  4  4  4  4  0  8  4  4  4  4  0  8  0  8  8  0  0  4 12  8  0 12 12 12  8 12 12  0 12 12  8  8  0 12 12  4  0  8  8  0  0  8  8  4 12  0  0  8  4 12  0  4 12  8 12  4  0
 0  0  0  8  8  8  0  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+13x^86+24x^87+55x^88+344x^89+47x^90+6x^91+6x^92+6x^93+3x^94+2x^95+2x^96+1x^114+2x^121

The gray image is a code over GF(2) with n=712, k=9 and d=344.
This code was found by Heurico 1.16 in 0.656 seconds.