The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+8x^21+10x^22+16x^23+10x^24+4x^26+4x^28+8x^29+2x^30+1x^32

The gray image is a code over GF(2) with n=48, k=6 and d=21.
This code was found by Heurico 1.16 in 0.0234 seconds.