The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+46x^20+160x^21+46x^22+1x^24+1x^26+1x^34

The gray image is a code over GF(2) with n=168, k=8 and d=80.
This code was found by Heurico 1.16 in 0.00159 seconds.