The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^20+64x^21+160x^22+64x^23+86x^24+14x^28+1x^32

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 9.8 seconds.