The generator matrix

 1  0  0  1  1  1  2  1  1  1  1  2  0  2  1  1  1  1  2  1  0  1  0  0
 0  1  0  0  1  3  1  2  2  1  3  1  1  2  0  0  2  3  1  0  1  1  1  1
 0  0  1  1  3  0  1  2  1  3  2  2  1  1  0  2  1  0  3  3  1  2  0  2
 0  0  0  2  2  2  0  2  0  0  0  2  2  2  2  0  2  0  0  2  0  0  2  0

generates a code of length 24 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+62x^22+26x^24+20x^26+4x^28+14x^30+1x^32

The gray image is a code over GF(2) with n=48, k=7 and d=22.
This code was found by Heurico 1.16 in 0.0452 seconds.