The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+25x^16+58x^17+96x^18+226x^19+393x^20+468x^21+397x^22+212x^23+80x^24+50x^25+18x^26+10x^27+13x^28+1x^30

The gray image is a code over GF(2) with n=168, k=11 and d=64.
This code was found by Heurico 1.16 in 0.0281 seconds.