The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+66x^15+309x^16+826x^17+1712x^18+3500x^19+6388x^20+7012x^21+6517x^22+3674x^23+1666x^24+722x^25+280x^26+56x^27+20x^28+16x^29+2x^30+1x^38

The gray image is a code over GF(2) with n=168, k=15 and d=60.
This code was found by Heurico 1.16 in 3.4 seconds.