The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  2  1  1 12  1  0  2  1  1  2
 0  2 12  6  0  6 12 10  6  2  0 10  6 12  2 10  2  6  6  0  6
 0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  0
 0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  8  8  0  0  8  8
 0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  0  0  8  0  0

generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+56x^16+48x^17+232x^18+320x^19+1136x^20+544x^21+1088x^22+320x^23+260x^24+48x^25+24x^26+16x^28+3x^32

The gray image is a code over GF(2) with n=168, k=12 and d=64.
This code was found by Heurico 1.16 in 0.106 seconds.