The generator matrix
1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 2 4 4 4 0 0 0 2
0 4 0 4 0 0 4 4 0 0 4 4 0 4 4 0 0 4 0 4 4 4 0 4 0
0 0 4 4 0 4 4 0 0 4 4 0 4 4 0 0 4 4 4 4 0 4 4 0 0
generates a code of length 25 over Z8 who´s minimum homogenous weight is 25.
Homogenous weight enumerator: w(x)=1x^0+20x^25+3x^26+4x^27+3x^28+1x^30
The gray image is a code over GF(2) with n=100, k=5 and d=50.
This code was found by Heurico 1.16 in 0.00364 seconds.