The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  4  1  1  2  1  1  0  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  1  1  4  2  2  2  0  2  2 12  1  1  2  2  8 10  2  2  4  1  1  6  1  1  0  1  1 12  1  1  1  1  1  1  1  1  8  4 14  2  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  7  1  2  1  1  0  3  1  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  7  2  1  1  1  0  6  2 12 10  2 12 15  4  2  2  1  8 14  2  0  3  1  6  5  1 10  9  1  8  4 11  7 14  2 13  1  1  1  1  1  0 12

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

Homogenous weight enumerator: w(x)=1x^0+16x^85+208x^86+16x^87+2x^88+8x^90+2x^92+1x^96+2x^100

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 0.275 seconds.