The generator matrix 1 1 1 1 1 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X generates a code of length 5 over F9[X]/(X^2) who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+40x^9+640x^18+5120x^27+20480x^36+472392x^40+32768x^45 The gray image is a linear code over GF(9) with n=45, k=6 and d=9. This code was found by Heurico 1.16 in 0.804 seconds.