The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+187x^16+64x^17+572x^18+256x^19+2856x^20+384x^21+2764x^22+256x^23+634x^24+64x^25+116x^26+32x^28+4x^30+2x^32

The gray image is a code over GF(2) with n=168, k=13 and d=64.
This code was found by Heurico 1.16 in 0.584 seconds.