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 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 a^3*X 1 1 1 1 1 1 a^5*X 0 X 1 1 1 1 1 1 1 1 a^3*X 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 a^7*X+a^6 a^7*X+1 a^7*X+a^2 a^3 a^7*X+2 1 0 a^7*X+a^6 a^7 a^5 a^3 a a^7*X+2 a^7*X+a^2 X+a^7 X a^7*X+1 a^6*X+2 X+a^3 a^6*X+a^2 a*X a^7*X+1 a^6*X+2 2*X+2 1 a^6*X+2 a^5*X+1 a*X+a^3 a^5*X+1 X+a a^6*X+a^6 X a^2*X a*X+a^3 a^6*X+a^6 a^2*X+2 X+a^6 a^7*X+2 1 X+a^7 a^6*X+1 1 X+a^5 1 2 a^3*X+a^3 X+a^5 a*X+2 a^3*X+a^5 X+a 1 1 1 X+2 a^6*X+1 a^5*X+a^5 a*X+a^5 2*X+a^2 X+a^7 a^5*X+1 2*X+a 1 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 0 a^5*X a^3*X a^6*X 2*X a^3*X 0 a^5*X a^3*X a^5*X a^3*X 2*X a*X a^2*X a^5*X a^7*X X a*X 0 a^5*X a^6*X a*X 0 X a^2*X 2*X X a^2*X a*X a^2*X 2*X a^5*X a^3*X 0 a^7*X a*X a^3*X a^5*X a^6*X a^5*X a^5*X 0 2*X 2*X a*X a^6*X 0 a*X a*X X a^2*X a^6*X a^7*X a*X a^7*X X a^3*X a^7*X 0 a^3*X 0 2*X a*X 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*X a^2*X a^7*X 0 a^3*X a*X a^3*X a^6*X a^6*X 2*X a^3*X a*X X X a^5*X a*X 0 0 a^6*X 0 2*X a*X a^5*X a^3*X a^6*X 2*X a^5*X a^3*X 2*X a^7*X a^6*X a^3*X 2*X a^6*X a^2*X a^7*X 0 a^6*X 0 X a*X a^3*X 0 a^5*X a^2*X a^5*X 2*X X a*X a^7*X X a^5*X X a^3*X 2*X 0 a*X a^6*X a^2*X X a^7*X a^5*X 2*X generates a code of length 76 over F9[X]/(X^2) who´s minimum homogenous weight is 576. Homogenous weight enumerator: w(x)=1x^0+592x^576+72x^579+360x^581+936x^582+2088x^584+1128x^585+720x^586+4032x^587+4536x^588+3744x^589+4248x^590+4392x^591+6480x^593+1128x^594+4320x^595+17064x^596+13176x^597+6912x^598+8424x^599+10368x^600+10800x^602+808x^603+18360x^604+58752x^605+41400x^606+21600x^607+21456x^608+20664x^609+20592x^611+696x^612+29088x^613+77616x^614+45792x^615+20232x^616+18000x^617+16128x^618+12528x^620+504x^621+696x^630+400x^639+328x^648+152x^657+104x^666+16x^675+8x^684 The gray image is a linear code over GF(9) with n=684, k=6 and d=576. This code was found by Heurico 1.16 in 44.1 seconds.