The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  2  1  2  4  2  2  1  4  8  0
 0  8  0  8  0  8  0  8  8  0  8  8  0  0  8  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+20x^21+4x^22+4x^23+3x^24

The gray image is a code over GF(2) with n=168, k=5 and d=84.
This code was found by Heurico 1.16 in 0.00289 seconds.