The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  6  1  1  8  1  0  1  1  8  1
 0  1 11  6  1  1  8  5  1 14 11  1 14  5  1  3  1  0  3  2  0
 0  0 12  0  0  0  0  0  4  0 12  8  8 12  4  8  4  0  0  8 12
 0  0  0 12  0  0  0  0 12  4  8 12  0 12 12  8  4  4 12 12 12
 0  0  0  0  4  0  8  4  8 12  4 12  4  8 12  0  0  4  0 12  8
 0  0  0  0  0 12 12  4  4  4  4  8  0  0  0  8  8  8  4 12  0

generates a code of length 21 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+68x^14+148x^15+293x^16+686x^17+2263x^18+7726x^19+11718x^20+19714x^21+11649x^22+7770x^23+2370x^24+706x^25+249x^26+98x^27+46x^28+14x^29+11x^30+2x^31+4x^32

The gray image is a code over GF(2) with n=168, k=16 and d=56.
This code was found by Heurico 1.16 in 9.2 seconds.