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  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  8  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  4  2  1
 0  2  0  6  8  6  0 10  4  6 12  2  4 10  4  6  0 14  8 10  0 14 12 14  4 10 10  4  2  4 14  0 14 12 14  4 10  0  2  8  0 14  4  2 14  2  8  4 12  4 14  2  2  6 12 12  0  8  6 14  0  8  2  2  8  0  4  8  8  6  2  6  6  8 12  6  6 10  8  8  2  0  6 12 14  4
 0  0 12  0  0  4  4 12  4  8 12  8  8 12  8  4  0  4  4  0  8 12  4  8 12  8  4  0 12  0  8 12  8  0 12 12  4  8  8  4  8  4 12  8  0 12 12  8  4  8 12  0  4  0  4  0  4  8  0 12  0 12  4  0  0  8  4  0 12  8  8 12 12  0 12  4 12  0  8  4  4  4  8  0  8  8
 0  0  0 12  4 12  4  0  0  0  4 12  4 12  0  0  8  8  8  8 12 12 12 12  0  4  8 12  4  0  8  4  4  4  4 12  0  8  0  0  4  4  8  8  4  8 12  8  8 12  8  4 12  8  4  8 12  0  0  0 12  8  4 12  0  0  8 12  4  8  4  4  8  0  8  8 12 12 12  4  0  0 12  0  4  4

generates a code of length 86 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+34x^81+87x^82+198x^83+281x^84+244x^85+354x^86+416x^87+185x^88+46x^89+71x^90+74x^91+44x^92+12x^93+1x^164

The gray image is a code over GF(2) with n=688, k=11 and d=324.
This code was found by Heurico 1.16 in 2.03 seconds.