The generator matrix

 1  1  1  1  1  1  1  1  2  8  1  2  1  0  2  1  1  1  1  0  1
 0  2  0  6  4 14 12  2 14  2  8  2 10  2  6  6 14  0  4  2  0
 0  0 12  0  4  4  8  4  4  4 12  4  8  0  8  0 12  8  4  0  8
 0  0  0  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  8  8  8
 0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  8  0  8  0  8  8
 0  0  0  0  0  8  0  8  8  0  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 16.

Homogenous weight enumerator: w(x)=1x^0+25x^16+70x^17+231x^18+384x^19+907x^20+894x^21+899x^22+376x^23+201x^24+58x^25+21x^26+8x^27+17x^28+2x^29+1x^30+1x^32

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 0.0778 seconds.