The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+60x^12+276x^14+354x^16+336x^18+840x^20+12288x^21+1176x^22+616x^24+144x^26+156x^28+116x^30+21x^32

The gray image is a code over GF(2) with n=168, k=14 and d=48.
This code was found by Heurico 1.16 in 0.683 seconds.