The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^20+106x^22+114x^24+62x^26+78x^28+22x^30+13x^32+2x^34

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 0.0284 seconds.