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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+12x^86+216x^87+14x^88+8x^91+2x^94+1x^96+2x^102

The gray image is a code over GF(2) with n=696, k=8 and d=344.
This code was found by Heurico 1.16 in 0.222 seconds.