The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^24+36x^25+62x^26+86x^27+79x^28+100x^29+74x^30+94x^31+79x^32+76x^33+86x^34+66x^35+38x^36+44x^37+30x^38+10x^39+14x^40+4x^42+3x^44

The gray image is a code over GF(2) with n=62, k=10 and d=24.
This code was found by Heurico 1.16 in 0.054 seconds.