The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 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^3 a^7*X+2 a^7*X+a^6 a^5 a^7 0 a^7 a^5 a^7*X+a^6 a^3 1 a a^7*X+a^2 a^7*X+1 1 a^5 a^7*X+2 a^7*X+a^6 a^6*X+a^6 a^7 a^7*X+a^2 a^7*X+2 a^6*X+a^6 X+a^7 a^6*X+2 X+a^7 a^6*X+2 0 a*X+a^7 a^5*X+a^6 X+a^5 X+a^5 a^7*X+2 X+a^5 a^6*X+2 X a^3 X 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 a*X X X a^6*X 2*X a^7*X a^7*X X a^6*X a*X a^3*X a^2*X a^6*X X a^7*X a^3*X a^3*X a^2*X 0 a^3*X a^7*X a^2*X a*X a^5*X 0 a^3*X X a^2*X a*X a^7*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^3*X 0 a^6*X a^2*X a^7*X X 2*X a*X a^6*X a^7*X a^6*X a^6*X a^3*X a^3*X a^5*X a^5*X a*X a^3*X a^6*X X a*X a^2*X X a^7*X a*X a^7*X a^6*X a*X X a*X generates a code of length 43 over F9[X]/(X^2) who´s minimum homogenous weight is 315. Homogenous weight enumerator: w(x)=1x^0+568x^315+216x^320+720x^322+4320x^323+3040x^324+1296x^328+5184x^329+4320x^331+16200x^332+8256x^333+20736x^337+41472x^338+18360x^340+59616x^341+21376x^342+82944x^346+110592x^347+29088x^349+77328x^350+23912x^351+864x^360+664x^369+272x^378+96x^387 The gray image is a linear code over GF(9) with n=387, k=6 and d=315. This code was found by Heurico 1.16 in 23 seconds.