The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  2  2  2  2  1
 0  2  0  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  2  2  0  2
 0  0  2  0  2  2  2  0  0  0  2  2  2  2  2  0  2  0  0  0  2  2
 0  0  0  2  2  0  2  2  0  2  2  0  0  0  2  2  0  2  2  0  2  2

generates a code of length 22 over Z4 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+14x^21+7x^22+7x^24+2x^29+1x^30

The gray image is a code over GF(2) with n=44, k=5 and d=21.
This code was found by Heurico 1.16 in 0.00198 seconds.