The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+8x^20+44x^21+4x^22+3x^24+4x^25

The gray image is a code over GF(2) with n=168, k=6 and d=80.
This code was found by Heurico 1.16 in 0.00293 seconds.