The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+135x^20+256x^22+110x^24+8x^28+1x^32+1x^36

The gray image is a code over GF(2) with n=176, k=9 and d=80.
This code was found by Heurico 1.16 in 3.37 seconds.