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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+56x^86+5x^88+2x^92

The gray image is a code over GF(2) with n=680, k=6 and d=344.
This code was found by Heurico 1.16 in 0.46 seconds.