The generator matrix 1 0 0 1 1 0 1 0 a^7*X+1 a 0 0 1 a^7*X+a^7 a generates a code of length 5 over F9[X]/(X^2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+720x^24+80x^27+19440x^32+11520x^33+240x^36+297432x^40+155520x^41+46080x^42+408x^45 The gray image is a linear code over GF(9) with n=45, k=6 and d=24. This code was found by Heurico 1.16 in 0.478 seconds.