The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+58x^84+162x^85+90x^86+128x^87+37x^88+28x^89+4x^90+2x^93+1x^98+1x^122

The gray image is a code over GF(2) with n=688, k=9 and d=336.
This code was found by Heurico 1.16 in 0.358 seconds.