The generator matrix 1 0 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 1 1 1 1 1 1 0 1 1 1 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 a^3 a^5 a^7*X+a^6 a^7*X+1 0 a a^3 X X+a a^7*X+1 a^5*X+1 X+a^3 X X+a^3 X+a a*X+a a^3*X+a^3 a*X a^6*X+1 2*X+a^3 a^5*X 1 a^5*X+a a*X+a^3 a^3*X a^5*X+1 a^3*X+a a^6*X+1 a^3*X+a^3 a^7*X+a^2 a^6*X+a^2 a^6*X+a^2 a^2*X+a^2 2*X+a^2 a^5*X+a^2 a^7*X+2 a*X+a^3 a^7 a^5 1 a^7*X+a^6 X+a^7 a^6*X+a^6 a^6*X+2 X+a^5 1 a^6*X+a^6 X+a^7 a^5*X+a^6 a^6*X+2 1 a^3*X+a^7 X+a^5 a^3*X+a^5 a*X+a^5 a^3*X+a^5 a*X+a^5 2*X+2 2 a^5*X+2 0 0 a^7*X a*X a^6*X a^5*X 2*X X 0 a^6*X a^3*X a*X a^2*X a^7*X a^5*X X 2*X a^2*X a^6*X a^2*X a^3*X a^7*X 2*X a*X X 0 a^5*X a^3*X a^5*X 0 2*X a^6*X X a^3*X a*X 0 2*X a^7*X a^5*X a^2*X a*X 0 X a^2*X a^6*X a^6*X X X a^3*X a^7*X a^2*X a^7*X a^6*X 2*X a^5*X a*X 0 2*X a^2*X a*X X a^5*X a^3*X 2*X a^6*X a^3*X a^2*X generates a code of length 67 over F9[X]/(X^2) who´s minimum homogenous weight is 522. Homogenous weight enumerator: w(x)=1x^0+536x^522+1440x^523+5976x^525+4032x^526+2592x^527+2072x^531+3600x^532+6192x^534+2304x^535+648x^536+3816x^540+6624x^541+11160x^543+5328x^544+2592x^545+48x^549+40x^558+32x^567+16x^576 The gray image is a linear code over GF(9) with n=603, k=5 and d=522. This code was found by Heurico 1.16 in 4.47 seconds.