The generator matrix
1 0 1 1 1 0 1 1 2 1 1 2 1 1 1 1 1 1 1 1 2 2 2 2 1
0 1 1 0 3 1 2 3 1 2 1 1 0 0 2 2 3 3 1 1 0 2 0 2 0
0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 2 0 2 2 0 0 0
generates a code of length 25 over Z4 who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+7x^24+12x^25+7x^26+4x^29+1x^34
The gray image is a code over GF(2) with n=50, k=5 and d=24.
This code was found by Heurico 1.16 in 0.00135 seconds.