The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 X X X a*X a^3*X 0 X a*X a^6*X a^5*X a^6*X 2*X 2*X a^5*X X 0 0 X 0 0 a^7*X a^6*X a*X 2*X a^7*X X a^7*X a*X a^2*X X X a^7*X a^2*X a*X a^2*X 0 0 0 X 0 a^7*X X a^2*X a^2*X a^6*X a^3*X a^6*X a^3*X a^5*X X a^5*X X X a^2*X X 0 0 0 0 X a^6*X 2*X a^3*X X X a*X a*X X a^2*X 0 a^5*X 2*X a*X 0 a^5*X generates a code of length 20 over F9[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+1160x^126+3184x^135+6160x^144+11520x^153+472392x^160+17560x^162+14000x^171+5464x^180 The gray image is a linear code over GF(9) with n=180, k=6 and d=126. This code was found by Heurico 1.16 in 21.9 seconds.