The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1
 0  8  0  0  0  0  0  0  0  0  8  8  0  0  0  8  8  8  8  8  0
 0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  8  0  0

generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+78x^16+32x^17+52x^18+1728x^21+48x^24+32x^25+72x^26+1x^32+4x^34

The gray image is a code over GF(2) with n=168, k=11 and d=64.
This code was found by Heurico 1.16 in 0.0299 seconds.