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 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 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 a^6*X+a^2 0 a^5 X+a X+a^7 a^6*X+a^6 X+a^5 a^2*X+a a*X+a^3 a^6*X+a^6 X+a^7 1 X X a^6*X+a^7 a^2*X+a X+a^7 2*X+a^3 X+a^5 a^2*X+a^7 a^2*X+a^6 X+a a^7*X+a^6 X+a^5 a^2*X+a a^5*X+a^3 1 a^3*X+a^5 a^7*X+2 a^5 a X+a^5 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^5*X a^3*X a^6*X a^7*X 2*X a^2*X a^7*X a^2*X a^2*X a^6*X a^6*X a^5*X X a^3*X a^2*X a*X 2*X a^5*X X a*X a^6*X a*X a^3*X a^5*X X a^2*X 0 a^7*X a^5*X a^7*X 2*X 2*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 X a^5*X a^6*X a^6*X a^5*X a*X X a^6*X a^5*X 2*X a^3*X a*X a^7*X a*X 2*X a^2*X 0 a^3*X X a*X a^6*X X a^3*X a^7*X a^3*X X a^2*X a^2*X 0 0 0 a*X 0 generates a code of length 63 over F9[X]/(X^2) who´s minimum homogenous weight is 468. Homogenous weight enumerator: w(x)=1x^0+192x^468+360x^474+432x^476+1744x^477+72x^480+576x^481+648x^482+2160x^483+2376x^484+5832x^485+8664x^486+1728x^489+6048x^490+4536x^491+6264x^492+6480x^493+16200x^494+19768x^495+13824x^498+32832x^499+18144x^500+14544x^501+20736x^502+41688x^503+42120x^504+36864x^507+65520x^508+29160x^509+29160x^510+22896x^511+40824x^512+37160x^513+768x^522+432x^531+408x^540+176x^549+80x^558+24x^567 The gray image is a linear code over GF(9) with n=567, k=6 and d=468. This code was found by Heurico 1.16 in 36.3 seconds.