The generator matrix 1 0 0 0 1 0 1 0 0 7 0 0 1 0 5 0 0 0 1 5 0 0 0 0 6 generates a code of length 5 over Z9 who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+10x^3+180x^4+580x^6+1080x^7+2430x^8+2240x^9+4590x^10+4860x^11+2240x^12+1440x^13+32x^15 The gray image is a code over GF(3) with n=15, k=9 and d=3. This code was found by Heurico 1.16 in 0.0235 seconds.