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

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

Homogenous weight enumerator: w(x)=1x^0+34x^82+72x^83+218x^84+120x^85+156x^86+96x^87+226x^88+64x^89+2x^90+24x^91+8x^93+2x^100+1x^128

The gray image is a code over GF(2) with n=688, k=10 and d=328.
This code was found by Heurico 1.16 in 0.598 seconds.