The generator matrix

 1  0  1  1  1 14  1  1  8  1  1 12  2  6 10  8  1  1  1  1  1
 0  1 11 14  5  1  8  3  1  6 13  1  1  1  1  1  4  2  6  8  0
 0  0 12  4  8 12  4  8 12  0 12  0  4  0  8  4 12  4  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^18+130x^19+216x^20+256x^21+214x^22+124x^23+37x^24+1x^26+2x^27+2x^28+1x^34

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 0.015 seconds.