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

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

Homogenous weight enumerator: w(x)=1x^0+112x^86+3x^88+8x^90+2x^92+1x^100+1x^108

The gray image is a code over GF(2) with n=688, k=7 and d=344.
This code was found by Heurico 1.16 in 0.418 seconds.