The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^24+104x^25+123x^26+142x^27+166x^28+172x^29+175x^30+194x^31+172x^32+180x^33+147x^34+130x^35+97x^36+84x^37+57x^38+14x^39+14x^40+4x^41+10x^42+1x^44

The gray image is a code over GF(2) with n=62, k=11 and d=24.
This code was found by Heurico 1.10 in 0.078 seconds.