The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^18+148x^19+212x^20+248x^21+212x^22+96x^23+42x^24+8x^25+2x^26+12x^27+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 0.0108 seconds.