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

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

Homogenous weight enumerator: w(x)=1x^0+50x^86+423x^88+24x^90+7x^92+4x^94+1x^116+2x^118

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 0.687 seconds.