The generator matrix 1 0 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 0 0 a^7*X a*X a^6*X a^5*X 2*X generates a code of length 7 over F9[X]/(X^2) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+168x^45+4536x^48+224x^54+17496x^56+36288x^57+336x^63 The gray image is a linear code over GF(9) with n=63, k=5 and d=45. This code was found by Heurico 1.16 in 0.0157 seconds.