The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^16+230x^17+490x^18+900x^19+1639x^20+1574x^21+1634x^22+936x^23+467x^24+178x^25+46x^26+20x^27+13x^28+2x^29+6x^30

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 0.244 seconds.