The generator matrix

 1  0  1  1  1  8  1  1  6  1  1  1 10  4  1 12 14  0 10  8  1
 0  1  1  4  3  1  0 15  1 10  5 14  1  1  0  2  1  8  1  1  4
 0  0  2 10  8 10 12 14  0  6  8 12 14 14 14  6 12  2 10 14  4

generates a code of length 21 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+50x^18+384x^19+293x^20+718x^21+178x^22+300x^23+74x^24+30x^25+11x^26+8x^27+1x^30

The gray image is a code over GF(2) with n=168, k=11 and d=72.
This code was found by Heurico 1.16 in 0.0197 seconds.