The generator matrix

 1  0  0  1  1  1  2  1  2  8 10  1  1 14  1  1  4  1  1  0  1
 0  1  0  0 13 13  1  8  2  1  1  7 14  1  7 15  2 12  9  1 10
 0  0  1  3  7  4  7 14  1  2  5  7 11 10  2  9  1  5 10  9 14
 0  0  0  8  8  0  8  0  0  0  8  0  0  8  8  0  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+505x^18+944x^19+1686x^20+2004x^21+1676x^22+844x^23+441x^24+44x^25+41x^26+4x^27+2x^30

The gray image is a code over GF(2) with n=168, k=13 and d=72.
This code was found by Heurico 1.16 in 1.93 seconds.