The generator matrix

 1  0  1  1  1  2  1  1  0  6  1  1  1  4  1  1  1  2  2  1  1
 0  1  1  0  3  1 12 11  1  1  6 15  5  1 10 10  7  4  8  7  8
 0  0  2  0  6  0  2  4  6  2  6  0  6  8 12 14  8  8  4  6  4
 0  0  0  2  6  2  4  0  6 12  6  6  8 10  2  8  2 10  6  4  0
 0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  8  8
 0  0  0  0  0  8  0  0  8  8  0  0  0  8  0  8  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+74x^15+387x^16+910x^17+3084x^18+6298x^19+13896x^20+16122x^21+14034x^22+6414x^23+3032x^24+786x^25+352x^26+110x^27+28x^28+6x^29+2x^30

The gray image is a code over GF(2) with n=168, k=16 and d=60.
This code was found by Heurico 1.16 in 8.93 seconds.