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  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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2
 0  2  0  2  0  0  2  2  4  6  4  6 12 14 12 14 12 14 12  6  8 10  8 10  8 10  4 14  4  6  8 10  0  2  4 14  4  6  0 10  8 10  6 12 14  4  2  8 12  0 14 10  8 12  2 10  4 14  0  2 12  8  6  6  0  4  2  6  0 12  2 14  4  6  0  2 12  6 10  0  8 10  8 14  6 10
 0  0  2  2 12  6 14  4  4  6 10  8 14 10  8 12 12 14  2  4  8 10 14  8  4  6  6  0  0  2 10 12  8 10  2  4 12 14 14  0 12 14  0  6  2  8 12  2  4 10  6  4  0 10  8  2 14  8  4  6  0  6 10 12  0  2  2  0 12  6 14  4  4 14 14  4  8 10  0  2 14  6  2 10  0  8

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

Homogenous weight enumerator: w(x)=1x^0+330x^84+384x^86+294x^88+14x^92+1x^160

The gray image is a code over GF(2) with n=688, k=10 and d=336.
This code was found by Heurico 1.16 in 0.63 seconds.