The generator matrix 1 0 0 1 1 0 1 0 1 18 0 0 1 26 18 0 0 0 24 21 generates a code of length 5 over Z27 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+114x^4+1820x^6+684x^7+18792x^8+7220x^9+102780x^10+37584x^11+7230x^12+912x^13+10x^15 The gray image is a code over GF(3) with n=45, k=11 and d=12. This code was found by Heurico 1.16 in 0.642 seconds.