The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^24+190x^26+188x^28+158x^30+151x^32+90x^34+68x^36+10x^38

The gray image is a code over GF(2) with n=58, k=10 and d=24.
This code was found by Heurico 1.16 in 1.98 seconds.