The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+144x^20+236x^24+120x^28+3x^32+8x^36

The gray image is a code over GF(2) with n=48, k=9 and d=20.
This code was found by Heurico 1.16 in 0.0196 seconds.