The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+12x^21+35x^22+8x^23+3x^24+4x^25+1x^30

The gray image is a code over GF(2) with n=176, k=6 and d=84.
This code was found by Heurico 1.16 in 0.00342 seconds.