The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 a^3*X 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 a^3 a^5 a^7*X+a^6 a^7*X+1 0 a a^3 a^7*X+a^2 a^5 a^7*X+a^6 a^7 a^7*X+2 1 X X+a a^6*X+a^2 a^6*X+2 X+a^3 X+a^7 a^7*X+1 1 a^6*X+a^6 X+a^5 X a^6*X+1 a^6*X+2 a^6*X+a^6 a^6*X+a^2 X+a 1 X+a^5 X+a^3 X+a^7 a^3*X+2 a*X+a^5 a^2*X a*X+a a^5*X+a^6 a^2*X+a^3 a^5*X+a^2 1 a*X+a^7 a^6*X+1 0 0 a^7*X a*X a^6*X a^5*X 2*X X 0 a^6*X a^3*X a*X a^2*X a^7*X 2*X X a^7*X a^2*X a^6*X a^5*X a^2*X a^5*X 0 a^3*X a*X X a^6*X a^6*X a^3*X a^3*X X a^2*X 0 a^5*X a^5*X a^7*X X 2*X a^5*X a^3*X a*X a^6*X a^7*X X a^2*X 0 a^2*X a^2*X a^7*X 0 generates a code of length 50 over F9[X]/(X^2) who´s minimum homogenous weight is 387. Homogenous weight enumerator: w(x)=1x^0+7368x^387+18272x^396+33304x^405+56x^414+16x^432+16x^441+16x^450 The gray image is a linear code over GF(9) with n=450, k=5 and d=387. This code was found by Heurico 1.16 in 0.333 seconds.