The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+248x^16+308x^17+1064x^18+1560x^19+3274x^20+3436x^21+3320x^22+1568x^23+1118x^24+284x^25+152x^26+8x^27+30x^28+4x^29+8x^30+1x^32

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 16.7 seconds.