The generator matrix 1 1 1 1 1 0 5 0 0 5 0 0 5 0 15 0 0 0 5 15 generates a code of length 5 over Z25 who´s minimum homogenous weight is 10. Homogenous weight enumerator: w(x)=1x^0+40x^10+120x^15+2760x^20+204x^25 The gray image is a code over GF(5) with n=25, k=5 and d=10. This code was found by Heurico 1.16 in 0.000649 seconds.