The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  2  0  1  1  8  4  1  1  4
 0  2  0  2  0  8  6 14  0  8  0 10  6  2 14 12  0  2 12  4  2
 0  0  2  2  0  6 14  8  0  6 14  2  4  4  2  0  2 12  4  0  2
 0  0  0  4  0  0 12  0 12  8  4 12  8 12  8 12  4  0 12  8  4
 0  0  0  0 12  4  4  4 12  4  0  8  4  0  8  0  8  8  4 12  4

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

Homogenous weight enumerator: w(x)=1x^0+203x^16+332x^17+920x^18+1620x^19+3186x^20+3752x^21+3316x^22+1688x^23+900x^24+268x^25+144x^26+20x^27+30x^28+4x^30

The gray image is a code over GF(2) with n=168, k=14 and d=64.
This code was found by Heurico 1.16 in 1.69 seconds.