The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^14+146x^15+359x^16+860x^17+2444x^18+6802x^19+13511x^20+17100x^21+13527x^22+6902x^23+2457x^24+836x^25+335x^26+102x^27+53x^28+20x^29+13x^30+3x^32+1x^34

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 8.56 seconds.