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  2  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  2
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  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  8  8  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  8
 0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  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  8  8  8  8  0  0  0  8  8  0  8  8  0  0  0  0  0  8  8  0  0  8  8  0  8  8  8  0  0  8  0  0  8  0  8
 0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  8  0  0  0  8  8  0  0  8  8  0  0  8  0  8  8  8  8  8  8  8  8  8
 0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  8  0  8  8  0  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  0  8
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  8  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  0  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  8  8  0  0  8  0  0  0  8  8  0  8  0  0  8

generates a code of length 86 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+57x^84+414x^86+27x^88+10x^92+1x^108+2x^118

The gray image is a code over GF(2) with n=688, k=9 and d=336.
This code was found by Heurico 1.16 in 0.447 seconds.