The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7 0 a^7 a^5 a^7*X+a^6 a^3 1 a a^7*X+a^2 a^7*X+1 1 a^5 a^7*X+a^2 a^7*X+a^6 a^7*X+2 a^7*X+2 a^7 a^7*X+1 0 0 a^7*X 0 a^7*X X a^6*X a^6*X 2*X a*X a^7*X a*X X a*X X X a^6*X 2*X a^7*X a^7*X X a^2*X a*X a^2*X a^3*X a^2*X a^6*X 0 0 0 X a^7*X a^7*X X a*X X a^2*X a^5*X a^6*X a^5*X a^3*X 0 a^6*X a^2*X a^7*X X 2*X a*X a*X a^7*X a^5*X a^5*X a^6*X a^2*X generates a code of length 27 over F9[X]/(X^2) who´s minimum homogenous weight is 189. Homogenous weight enumerator: w(x)=1x^0+392x^189+504x^192+1048x^198+1944x^200+12096x^201+1032x^207+31104x^209+96768x^210+1384x^216+124416x^218+258048x^219+1376x^225+1032x^234+296x^243 The gray image is a linear code over GF(9) with n=243, k=6 and d=189. This code was found by Heurico 1.16 in 13 seconds.