The generator matrix 1 1 1 1 1 1 1 0 X 0 X a*X a*X a^2*X 0 0 X a^7*X a*X a^2*X a^6*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+224x^54+5832x^56+336x^63 The gray image is a linear code over GF(9) with n=63, k=4 and d=45. This code was found by Heurico 1.16 in 0.000859 seconds.