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

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

Homogenous weight enumerator: w(x)=1x^0+72x^85+143x^86+8x^87+15x^88+12x^89+4x^101+1x^110

The gray image is a code over GF(2) with n=688, k=8 and d=340.
This code was found by Heurico 1.16 in 2.59 seconds.