The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 a^7*X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7 0 a^7 a^5 a^7*X+a^6 a^3 1 a a^7*X+a^2 a^7*X+1 a^7*X+2 a^7 a^7*X+a^6 a^7*X+a^2 a^3 1 a a^7*X+1 a^6*X+a^6 a^7*X+1 X+a^3 0 a^5 a^6*X+a^2 X+a a^7*X+2 X+a^7 1 a^2*X+a a^6*X+1 X+a^3 a^6*X+a^6 X+a^5 a^6*X+a^2 a^6*X+2 X+a^7 X a*X+a^7 1 a^6*X+a^3 a^2 2*X+1 X+a^5 a^3*X+a^2 a^2*X+a^5 1 1 a*X+a^6 2*X+a^7 a^5*X+a^5 a^2*X+a^3 a^6*X+1 a*X+a a^3 a*X+a^7 a^5*X+2 a^5 a*X+a a^6*X+1 a^2*X+a^7 a^7*X+1 0 0 0 a^7*X 0 a^7*X X a^6*X a^6*X 2*X a*X a^7*X a*X X a*X X X a^6*X 2*X a^7*X a^2*X a^6*X 2*X 0 a*X 2*X 2*X X a*X a^5*X a^3*X a^3*X a^6*X a^5*X a^7*X a^7*X 2*X X a^2*X 0 a^5*X a^6*X X 0 X a^3*X X 0 a^2*X a^2*X a^5*X a^6*X a^2*X a^7*X a^5*X 2*X a^3*X a^2*X a^6*X 2*X a^6*X a^7*X a*X a^7*X 2*X a^3*X a^5*X a^5*X X a^3*X a^6*X 0 0 0 0 X a^7*X a^7*X X a*X X a^2*X a^5*X a^6*X a^5*X a^3*X 0 a^6*X a^2*X a^7*X a*X a^2*X a^5*X a*X a^6*X 2*X 0 a^2*X a*X 0 a^6*X a^7*X a^5*X a^6*X X a^6*X X a^5*X X a^6*X a^3*X a^3*X 2*X a*X a^2*X a^2*X a*X a^3*X a^3*X 0 X 2*X a^7*X a^7*X a^3*X a*X X a^5*X 2*X a^7*X 0 2*X 2*X a^6*X X 0 a^6*X a^7*X 0 a^5*X a^3*X a^2*X 0 generates a code of length 71 over F9[X]/(X^2) who´s minimum homogenous weight is 531. Homogenous weight enumerator: w(x)=1x^0+144x^531+216x^537+144x^539+1344x^540+1008x^541+2304x^546+1440x^547+6768x^548+6864x^549+7344x^550+9936x^555+5400x^556+19656x^557+17232x^558+18576x^559+30672x^564+19872x^565+62280x^566+42696x^567+41760x^568+61848x^573+25776x^574+68616x^575+41392x^576+36288x^577+544x^585+440x^594+424x^603+264x^612+144x^621+40x^630+8x^639 The gray image is a linear code over GF(9) with n=639, k=6 and d=531. This code was found by Heurico 1.16 in 41.4 seconds.