The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 10  1 14  1  1 14  1  2  2  1
 0  1 11  6 13  1  8  3  1 10  5  1  7  1 12  9  1  0  4  6  0
 0  0 12  0  4  0  4  8 12  8  8  8  4  4  8  8  4  0  4  0  0
 0  0  0  8  0  0  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  8  0  0  8  0  8  8  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+33x^16+162x^17+320x^18+828x^19+1824x^20+1870x^21+1696x^22+1080x^23+182x^24+142x^25+32x^26+12x^27+8x^28+2x^29

The gray image is a code over GF(2) with n=168, k=13 and d=64.
This code was found by Heurico 1.16 in 0.176 seconds.