The generator matrix

 1  1  1  1  1  1  1  1  2  1  2 12  2  2  1  8  2  1  1  2  1
 0  2  0  2  0  0  2  6  2  8  4  2 14  8 10  2 10 10 10  0  0
 0  0  2  2  0 14  2  4  6  4  2 10  4 14  4 12 12 10 10  4  0
 0  0  0  4  0  0  0  0 12 12  4  8  4  8 12  0  8  8  4 12  0
 0  0  0  0 12  4  0 12  8 12 12 12 12  0  0  8 12  4  4  8  0
 0  0  0  0  0  8  8  8  8  8  0  0  0  8  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+45x^14+152x^15+377x^16+772x^17+1532x^18+3430x^19+6200x^20+7634x^21+6312x^22+3524x^23+1507x^24+728x^25+360x^26+126x^27+39x^28+18x^29+7x^30+3x^32+1x^36

The gray image is a code over GF(2) with n=168, k=15 and d=56.
This code was found by Heurico 1.16 in 3.37 seconds.