The generator matrix 1 0 0 1 1 0 1 0 1 0 0 0 1 8 0 0 0 0 6 3 generates a code of length 5 over Z9 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+18x^4+92x^6+108x^7+162x^8+308x^9+702x^10+324x^11+318x^12+144x^13+10x^15 The gray image is a code over GF(3) with n=15, k=7 and d=4. This code was found by Heurico 1.13 in 3.81e-009 seconds.