The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+240x^17+418x^18+856x^19+1524x^20+2188x^21+1492x^22+824x^23+362x^24+224x^25+42x^26+16x^27+4x^29+1x^32

The gray image is a code over GF(2) with n=168, k=13 and d=68.
This code was found by Heurico 1.16 in 24.8 seconds.