The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+300x^86+157x^88+48x^90+2x^94+1x^96+1x^104+2x^110

The gray image is a code over GF(2) with n=696, k=9 and d=344.
This code was found by Heurico 1.16 in 1.02 seconds.