The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+58x^24+84x^25+119x^26+196x^27+166x^28+164x^29+184x^30+152x^31+169x^32+176x^33+158x^34+148x^35+94x^36+84x^37+48x^38+16x^39+20x^40+4x^41+3x^42+4x^44

The gray image is a code over GF(2) with n=62, k=11 and d=24.
This code was found by Heurico 1.16 in 0.22 seconds.