The generator matrix 1 0 1 0 1 a^7*X 0 0 a^7*X+1 generates a code of length 3 over F9[X]/(X^2) who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+216x^8+24x^9+15552x^16+3456x^17+192x^18+373248x^24+124416x^25+13824x^26+512x^27 The gray image is a linear code over GF(9) with n=27, k=6 and d=8. This code was found by Heurico 1.16 in 0.153 seconds.