The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^16+268x^17+1023x^18+1670x^19+3389x^20+3436x^21+3682x^22+1660x^23+805x^24+244x^25+119x^26+14x^27+11x^28+4x^29

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 0.694 seconds.