The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^14+68x^15+566x^16+988x^17+3135x^18+7860x^19+11507x^20+16972x^21+11522x^22+7884x^23+3190x^24+980x^25+544x^26+60x^27+92x^28+4x^29+22x^30+3x^32+1x^34+1x^36

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 8.87 seconds.