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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+128x^83+112x^84+228x^85+182x^86+176x^87+58x^88+56x^89+24x^90+48x^91+4x^92+4x^93+2x^102+1x^128

The gray image is a code over GF(2) with n=688, k=10 and d=332.
This code was found by Heurico 1.16 in 0.909 seconds.