The generator matrix 1 1 1 1 1 1 1 1 1 0 X 0 0 0 X X X a*X 0 0 X 0 0 a^7*X a^6*X a*X 2*X 0 0 0 X 0 a^7*X X a^2*X a^2*X 0 0 0 0 X a^6*X 2*X a^3*X X generates a code of length 9 over F9[X]/(X^2) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+1008x^45+2688x^54+12096x^63+495144x^72+20504x^81 The gray image is a linear code over GF(9) with n=81, k=6 and d=45. This code was found by Heurico 1.16 in 3.76 seconds.