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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+52x^86+128x^87+155x^88+128x^89+36x^90+4x^94+3x^96+4x^98+1x^120

The gray image is a code over GF(2) with n=704, k=9 and d=344.
This code was found by Heurico 1.16 in 0.725 seconds.