The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+52x^16+138x^17+234x^18+482x^19+734x^20+842x^21+753x^22+444x^23+221x^24+118x^25+36x^26+18x^27+16x^28+6x^29+1x^30

The gray image is a code over GF(2) with n=168, k=12 and d=64.
This code was found by Heurico 1.16 in 0.0809 seconds.