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 X 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 a^3*X a^3*X X X a^5*X 2*X a^6*X X 2*X 0 a*X a^7*X a^2*X a^6*X a^2*X a^2*X a^5*X a^7*X a^6*X a^7*X 0 a^7*X a^7*X a^3*X 2*X a^5*X X a^7*X a^6*X a^2*X a*X 2*X X a*X a^3*X 2*X a^3*X 0 X a^3*X a*X a^2*X a*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^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^5*X a^2*X 0 a*X 2*X 2*X a^5*X a^6*X a*X a*X a^5*X 2*X a^6*X a^6*X X 2*X X a^3*X a^3*X a^7*X a^6*X 0 2*X a^5*X X a^5*X 2*X a^2*X a*X a^5*X a^7*X a^2*X a*X a^3*X 0 a^6*X a*X X a^6*X 2*X a^3*X 2*X 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 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 a^3*X a^2*X 2*X a^6*X a^2*X a^7*X a^2*X a*X a^6*X a^2*X X X X a^7*X a^5*X 2*X a*X a^7*X a^6*X 0 0 a^7*X 2*X 0 a^7*X a^6*X 0 a^6*X X a^3*X a^7*X a^6*X a^6*X a^2*X a^2*X 0 a^6*X 0 X a^5*X a^5*X a*X 0 a*X a^2*X generates a code of length 99 over F9[X]/(X^2) who´s minimum homogenous weight is 756. Homogenous weight enumerator: w(x)=1x^0+368x^756+928x^765+1256x^774+992x^783+5832x^784+616x^792+46656x^793+624x^801+472x^810+312x^819+368x^828+232x^837+160x^846+144x^855+56x^864+24x^873+8x^882 The gray image is a linear code over GF(9) with n=891, k=5 and d=756. This code was found by Heurico 1.16 in 2.26 seconds.