The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+11x^18+28x^19+52x^20+336x^21+52x^22+12x^23+10x^24+8x^25+1x^26+1x^40

The gray image is a code over GF(2) with n=168, k=9 and d=72.
This code was found by Heurico 1.16 in 0.00548 seconds.