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

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

Homogenous weight enumerator: w(x)=1x^0+28x^85+205x^86+13x^88+2x^89+2x^92+2x^97+2x^98+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 20.8 seconds.