The generator matrix

 1  0  0  1  1  1  2  1  0  2  1  6  1  1  1  1 10 12 12  1  1
 0  1  0  1 14  7  1 13  1  1  6  6  8  5  7  9  1  4  1 14  4
 0  0  1  1  5  0  7  1  2  7  1  1  2  4  5 14  4  1 13  0  3
 0  0  0  2 10  2  6  8 10  8  4  6  6  4  2 12 10 10  6  6  4
 0  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+198x^16+828x^17+2808x^18+7336x^19+12616x^20+17928x^21+12656x^22+7456x^23+2712x^24+732x^25+216x^26+24x^27+24x^28+1x^32

The gray image is a code over GF(2) with n=168, k=16 and d=64.
This code was found by Heurico 1.16 in 8.32 seconds.