The generator matrix 1 0 1 1 1 0 X X 1 a*X 1 a*X 1 1 1 1 1 1 1 a^6*X 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 1 1 1 1 1 1 1 1 1 0 1 0 X X 1 1 1 a*X 1 a*X 1 a^7*X+1 a^7*X+1 a^6*X+1 a^6*X+1 a^5*X+1 a^5*X+1 a^6*X 1 1 a a^7*X+a^2 a^7 a^3 a^7*X+2 a^5 a^7*X+a^6 a^7*X+a^2 a^7*X+2 a^5 a^7 a^3 a a^7*X+a^6 X+a^3 X+a^5 X+a a^6*X+2 X+a^7 a^6*X+a^2 a^6*X+a^6 X+a^5 a^6*X+a^6 X+a X+a^7 a^6*X+a^2 a^6*X+2 X+a^3 a^3*X+2 a^2*X+a^5 a^5*X+a^6 a*X+a^3 2*X+a^2 a^3*X+a a*X+a^5 a^5*X+2 a*X+a 0 0 X a^7*X a^6*X X a^7*X a^6*X a*X a*X a^2*X a^2*X 2*X a^3*X 0 X a*X a^5*X a^3*X a^3*X a^6*X X a^6*X 2*X a*X a*X 2*X a^7*X 0 a^5*X a^5*X a^5*X a^2*X a^6*X 0 a^7*X a^7*X a^5*X a^2*X a^7*X a*X 2*X a^6*X a^3*X 0 X a^2*X X 0 a^7*X a*X a^6*X X a^3*X a^3*X a^2*X a^3*X a^7*X generates a code of length 58 over F9[X]/(X^2) who´s minimum homogenous weight is 450. Homogenous weight enumerator: w(x)=1x^0+536x^450+2160x^451+3240x^452+4536x^453+2064x^459+5400x^460+5184x^461+4536x^462+3848x^468+9936x^469+9072x^470+8424x^471+40x^477+24x^486+16x^495+24x^504+8x^513 The gray image is a linear code over GF(9) with n=522, k=5 and d=450. This code was found by Heurico 1.16 in 0.413 seconds.