The generator matrix

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

generates a code of length 29 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+113x^24+80x^26+160x^30+122x^32+16x^34+19x^40+1x^48

The gray image is a code over GF(2) with n=58, k=9 and d=24.
This code was found by Heurico 1.16 in 94.1 seconds.