The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X 0 0 X X a*X a^3*X 0 2*X a^2*X X a^2*X a*X a^2*X a^5*X a*X X a*X 2*X a^6*X a^2*X a^6*X a*X 0 a^5*X a^6*X a^6*X a^5*X X 0 0 X 0 a^7*X a^6*X a*X 2*X X a^6*X a^6*X X a^3*X X a^5*X X a^2*X a^6*X a^5*X a^6*X a^5*X a^7*X a^3*X X a^2*X a^3*X a^3*X 2*X a^6*X a^5*X 0 0 0 X a^7*X X a^5*X a*X a*X a^7*X 2*X a^7*X a^3*X a^2*X 2*X a^3*X a^6*X 2*X X a^6*X a^6*X a*X a^2*X a^3*X X 0 a*X a*X X 2*X generates a code of length 30 over F9[X]/(X^2) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+816x^216+1048x^225+5832x^232+1248x^234+46656x^241+1120x^243+1232x^252+888x^261+208x^270 The gray image is a linear code over GF(9) with n=270, k=5 and d=216. This code was found by Heurico 1.16 in 3.78 seconds.