The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^24+80x^26+126x^28+80x^30+95x^32+32x^34+16x^36+8x^40+2x^44

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 0.0178 seconds.