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

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

Homogenous weight enumerator: w(x)=1x^0+149x^84+220x^86+130x^88+2x^90+6x^92+1x^96+1x^100+2x^114

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 2.76 seconds.