The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 a^7*X 1 1 a^6*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 2*X 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a^5*X a^7*X 1 a^6*X 1 0 1 0 a^7*X a*X a^6*X a^5*X 2*X 1 a^7*X+2 a^7*X+1 2 1 a^6*X+1 a^6*X+2 1 a a^2 a^7*X+a a^7*X+a^3 a^3 a^7*X+a^6 a^6 a^7*X+a^5 a*X+a a^5*X+a^6 a^6*X+a^5 a^2*X+a^7 a^2*X+a 2*X+a^2 a*X+a^7 X+a^3 a^2*X+2 a^7*X+a^2 a*X+a^5 a^5*X+1 a^6*X+a^2 a^3*X+a^7 a^5*X+2 a^5 a^3*X+a^6 2*X+a^5 a^5*X+1 1 a^6*X+a^7 a^5*X+a^7 a^3*X+a^2 a^7*X+a^6 X+a^6 a*X+a^7 1 X+a^2 a^7*X+a^3 a 2*X+a^3 2*X+1 a^6*X+a^3 a^3*X+a^2 a^7*X+a^5 a^5*X+a^7 a^3*X+a 2*X+1 X a^6*X+a^3 a*X+2 1 1 a^6*X+a^6 1 a^2*X 0 0 1 a^7*X+1 a a^2 a^7*X+2 a^7*X+a^7 a^6 a^7*X+a^5 a^7*X+a^3 X+a^6 a^7*X+2 a^5 a^3 1 a*X a^2*X+a^6 a^7*X+a^2 2*X+1 2*X+a a^6*X+a X+1 2*X+a^6 X+a^3 a^6*X+a^5 a^5*X+2 2 X+a 2*X X+a^5 a^6*X+a^3 a^5*X+a^7 a^5*X+a^3 a^5*X+a^2 2*X+a^7 a^3*X+1 a^5*X+a a^2*X+1 X+a^5 a^3*X+a^2 a^2*X+1 2*X+a a*X+a^5 a^5*X a^6*X+a^7 a^7 a^6*X+2 a^5*X+a^7 a^2 a^7*X+a^7 X+2 a^7*X a^7*X+a^5 a*X+a^5 a^5*X a^7*X+a^6 a*X+a^2 2*X+a^7 a^6 X+2 a^6*X+1 a^2*X+a^3 a^5*X+2 a^6*X+a^2 2*X+a^3 a^6*X+a^2 a^5*X+a^6 a^6*X+a^6 a*X+a generates a code of length 70 over F9[X]/(X^2) who´s minimum homogenous weight is 540. Homogenous weight enumerator: w(x)=1x^0+2880x^540+8640x^541+9000x^542+432x^545+720x^547+4320x^548+27840x^549+45144x^550+34632x^551+648x^552+3024x^554+1800x^556+6912x^557+45208x^558+65232x^559+43704x^560+5184x^561+8208x^563+3312x^565+12096x^566+64704x^567+85104x^568+52632x^569+32x^576+8x^585+16x^603+8x^621 The gray image is a linear code over GF(9) with n=630, k=6 and d=540. This code was found by Heurico 1.16 in 35.3 seconds.