The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^22+5x^24+2x^28

The gray image is a code over GF(2) with n=176, k=6 and d=88.
This code was found by Heurico 1.16 in 0.0041 seconds.