The generator matrix

 1  1  1  1  1  1  1  1  2  8  2  2  1  1  2  1  1  2  2  2  1
 0  2  0  0  0  2 14  2 12  2  4 10  8  4  8  4  2 10 10  2  0
 0  0  2  0  2  2 10  4  2  4  6  0  6  4 12  6  4  6  2  0  0
 0  0  0  2  2  0 14  6  4  0  2  6  4  6  2  2  6  6 12  2  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  8  0  0  8  0  8  8  8  0  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+96x^14+214x^15+767x^16+1590x^17+3420x^18+6526x^19+12624x^20+15070x^21+12541x^22+6594x^23+3534x^24+1506x^25+708x^26+234x^27+96x^28+10x^29+2x^30+2x^32+1x^38

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 11.1 seconds.