The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  8 14 10  6 12  0 10  8
 0  0  8  0  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0
 0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  0  0  8  8  8  8
 0  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  8  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+89x^18+106x^20+640x^21+114x^22+52x^24+21x^26+1x^40

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 0.0267 seconds.