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

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

Homogenous weight enumerator: w(x)=1x^0+30x^85+206x^86+14x^88+1x^96+2x^101+2x^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 1.5 seconds.