The generator matrix

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

generates a code of length 28 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+164x^24+204x^28+119x^32+20x^36+4x^40

The gray image is a code over GF(2) with n=56, k=9 and d=24.
This code was found by Heurico 1.16 in 3.31 seconds.