The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^14+82x^15+159x^16+420x^17+889x^18+1870x^19+2984x^20+3424x^21+3030x^22+1934x^23+880x^24+372x^25+159x^26+82x^27+36x^28+8x^29+2x^30+4x^32+1x^38

The gray image is a code over GF(2) with n=168, k=14 and d=56.
This code was found by Heurico 1.16 in 1 seconds.