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 1 1 1 1 1 1 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 0 X a^2*X 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 a^6*X a*X a^3*X 2*X 0 a*X 0 2*X 0 a*X a^5*X a^2*X a^2*X 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^5*X a^6*X 0 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 a^2*X a^2*X a^3*X a^7*X 2*X 0 X a^3*X a^2*X X a^6*X a^2*X 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 2*X a^3*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 a*X 0 a^2*X a^6*X 0 a*X a^5*X X a^6*X a*X X a*X a^6*X generates a code of length 94 over F9[X]/(X^2) who´s minimum homogenous weight is 720. Homogenous weight enumerator: w(x)=1x^0+792x^720+1048x^729+1048x^738+856x^747+52488x^752+776x^756+536x^765+344x^774+416x^783+240x^792+224x^801+160x^810+64x^819+40x^828+8x^837+8x^846 The gray image is a linear code over GF(9) with n=846, k=5 and d=720. This code was found by Heurico 1.16 in 12.8 seconds.