The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  2  2  1  4  0  1  1  4  4  1
 0 12  8  4  0 12  8  4 12  4  0  8  0 12 12  4  8  4  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+19x^20+16x^21+19x^22+8x^23+1x^26

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 0.00344 seconds.