The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+20x^20+64x^21+88x^22+64x^23+10x^24+8x^26+1x^32

The gray image is a code over GF(2) with n=176, k=8 and d=80.
This code was found by Heurico 1.16 in 0.00645 seconds.