The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  4  4  1  2
 0 12  0  4  0  8 12 12  0  8  4 12  0  4 12 12  0 12  4  4  8
 0  0 12  4  0  4  4  8  0  4  4  0  8 12 12  0  4  8 12  0  8
 0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  8  8  0  8  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8

generates a code of length 21 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+81x^18+96x^19+192x^20+320x^21+179x^22+96x^23+26x^24+23x^26+4x^28+5x^30+1x^32

The gray image is a code over GF(2) with n=168, k=10 and d=72.
This code was found by Heurico 1.16 in 41.4 seconds.