The generator matrix

 1  0  0  1  1  1 10 14  1  1  8  1  1  1 14  1  1  1  1  1  1
 0  1  0  2  1  7  1  6  5  4  1 15 14  2  1 10 11  0  4 12 15
 0  0  1  1  5  2  1  1  3  7  7  4  6  4 12  3  9  5  4  3  2
 0  0  0  4 12  8  4 12  0  0  8  4  4  0  8  8  0  4 12  4 12

generates a code of length 21 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+202x^17+746x^18+1848x^19+3420x^20+3996x^21+3441x^22+1804x^23+669x^24+198x^25+36x^26+12x^27+6x^28+4x^29+1x^30

The gray image is a code over GF(2) with n=168, k=14 and d=68.
This code was found by Heurico 1.16 in 0.687 seconds.