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.