The generator matrix 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 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 X 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 0 X 0 0 X X a*X a^3*X 0 2*X a^2*X X a^2*X a*X a^2*X a^5*X a*X a^6*X a^2*X a^3*X a*X X a^5*X a*X X a^2*X 0 a^7*X a^2*X 0 a^3*X a^3*X a^2*X a^3*X 0 2*X a^5*X a^6*X a^6*X a^6*X a*X 0 a^6*X 0 0 a^5*X a^3*X a^6*X a^3*X X a*X 2*X a^7*X a^7*X X 2*X a^3*X X a^7*X 2*X a^6*X 2*X 2*X X a^5*X a^2*X a*X a^3*X a^6*X a^5*X a^6*X 0 a^7*X X a^6*X a^3*X a^2*X a*X a^2*X a*X a^3*X X a^3*X a^6*X X a*X X X a*X X a^6*X a^6*X a^7*X X a^6*X a*X 0 0 0 X 0 a^7*X a^6*X a*X 2*X X a^6*X a^6*X X a^3*X X a^5*X X a^2*X 0 a^7*X a^7*X a^6*X 0 a^5*X X a^6*X 0 a^5*X a*X a^6*X a^2*X a^5*X a^7*X a^7*X a^2*X 2*X a^6*X a^5*X a^7*X 2*X a^7*X a^2*X a*X a^2*X a^5*X X X 0 a^6*X a^2*X a*X X 2*X a^2*X 0 a^7*X a^2*X a^5*X 0 X a^2*X 2*X a^7*X 2*X 2*X 2*X 2*X a^3*X a^7*X a*X a^3*X 2*X a*X X a^6*X a^6*X a^6*X a^5*X a^7*X a^6*X a^7*X a^6*X a^2*X 2*X X a^5*X a^3*X a^5*X a^2*X 0 a^7*X X a^7*X 0 2*X a^6*X a*X 0 0 0 0 X a^7*X X a^5*X a*X a*X a^7*X 2*X a^7*X a^3*X a^2*X 2*X a^3*X a^6*X a^6*X 0 2*X a^7*X 2*X X a^3*X 2*X a^3*X 2*X a^7*X X X X 0 a*X a*X X a^3*X a^2*X a^3*X a*X a*X a^5*X a*X a^3*X a^2*X a^6*X a*X a^2*X a^3*X X a^7*X a^7*X 0 0 a^2*X 2*X a^5*X a^2*X a^6*X a^6*X a^6*X a^6*X a^6*X a^7*X a^6*X X a^2*X a^3*X a^6*X a^6*X 2*X X X a^7*X a*X X a*X a^3*X 2*X a^2*X a^7*X 2*X 2*X a^3*X a^2*X 2*X a^7*X 0 0 a*X a*X a^3*X 0 0 X a^6*X 0 0 generates a code of length 97 over F9[X]/(X^2) who´s minimum homogenous weight is 738. Homogenous weight enumerator: w(x)=1x^0+192x^738+1024x^747+72x^752+1160x^756+1728x^761+816x^765+13824x^770+768x^774+36864x^779+624x^783+560x^792+440x^801+280x^810+264x^819+160x^828+152x^837+88x^846+32x^855 The gray image is a linear code over GF(9) with n=873, k=5 and d=738. This code was found by Heurico 1.16 in 2.21 seconds.