The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+56x^82+328x^83+325x^84+294x^85+199x^86+224x^87+225x^88+252x^89+66x^90+44x^91+9x^92+6x^93+5x^94+4x^95+8x^96+2x^122

The gray image is a code over GF(2) with n=688, k=11 and d=328.
This code was found by Heurico 1.16 in 0.531 seconds.