The generator matrix 1 1 1 1 1 0 5 0 0 0 0 0 5 0 0 0 0 0 5 0 0 0 0 0 5 generates a code of length 5 over Z25 who´s minimum homogenous weight is 5. Homogenous weight enumerator: w(x)=1x^0+20x^5+160x^10+640x^15+13780x^20+1024x^25 The gray image is a code over GF(5) with n=25, k=6 and d=5. This code was found by Heurico 1.16 in 0.00852 seconds.