The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 X 1 1 1 1 1 X 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 1 1 a a^7*X+a^2 a^7*X+2 a^7 a^3 a^5 a^7*X+a^6 a^7*X+1 0 a a^3 a^7*X+a^2 a^5 a^7*X+a^6 a^7 a^7*X+2 1 X X+a a^6*X+a^2 a^6*X+2 X+a^3 X+a^7 a^7*X+1 1 a^6*X+a^6 X+a a^6*X+2 a^6*X+a^2 X+a^3 1 2*X+a^2 a^6*X+a^6 a^6*X+1 a^3*X+a^6 a^6*X+1 a^2*X+a^3 a*X+a 2*X+2 a^2*X+a^3 a^5*X+1 a^2*X+2 a^5*X+a^2 a^5*X+a^6 a*X+a a^3*X+a^2 a^2*X+2 a*X+a^3 a^5*X+a^6 1 a^5*X+a a^2*X+a a^3 a^6*X+2 a^6*X+1 X+a^3 a^2*X+2 a^7*X+1 a*X+a X+a^7 X 0 0 a^7*X a*X a^6*X a^5*X 2*X X 0 a^6*X a^3*X a*X a^2*X a^7*X 2*X X a^7*X a^2*X a^6*X a^5*X a^2*X a^5*X 0 a^3*X a*X X a^6*X a^6*X a^3*X a^7*X 2*X a*X 0 X a^5*X X a^2*X a^5*X 2*X a^3*X X 0 a^6*X a^5*X a^7*X X 0 2*X a^2*X a*X a^5*X a^2*X X 0 a^5*X 2*X a^6*X a^6*X a^7*X a^2*X a*X a^6*X a^7*X a^7*X generates a code of length 64 over F9[X]/(X^2) who´s minimum homogenous weight is 494. Homogenous weight enumerator: w(x)=1x^0+864x^494+96x^495+72x^496+1296x^498+3024x^501+7488x^503+280x^504+1152x^505+5184x^507+3024x^510+5760x^512+128x^513+4608x^514+11016x^516+5616x^519+9216x^521+112x^522+48x^531+40x^540+8x^549+8x^558+8x^567 The gray image is a linear code over GF(9) with n=576, k=5 and d=494. This code was found by Heurico 1.16 in 0.489 seconds.