The generator matrix 1 0 0 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 a^5*X a^7*X 1 2*X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 a^5*X 2*X 1 1 1 1 1 1 1 1 0 1 0 a^7*X+1 a a^2 a^7*X+2 a^7*X+a^7 X a^7*X+a a^6 a^6*X+1 a^7*X+a^2 a^7*X+a^3 a^7 X+a^2 a^7*X+a^5 2 a^3 X+a^6 a^5*X+2 a^5*X+1 a^2*X+a^7 a^2*X+a a^6*X+a^3 a^2*X a^3*X+a^2 2*X+a^3 a*X+a 1 1 a^5*X 1 X+a^7 a*X+a^3 X+a^2 1 a^6 a*X+a^6 a^2*X+1 a^3*X+a^2 a^3*X+a^6 a^6*X+2 a^3*X+1 a^5*X+a^5 a*X+a^5 X+1 a^2*X+a^7 a^3*X+a^5 a*X 1 1 a*X+1 X+a^7 a^6*X a^5*X+a a^5*X+a^2 a^2*X+a a^2*X+a^6 X+a 0 0 1 a^7*X+a^7 a a^6 a^7*X+a^5 a^7*X+2 a^7*X+a^3 a^7*X+a^2 X+a^6 a^3 a^6*X+a^7 a^6*X+a^2 X+a a^5*X+2 a^3*X+1 a*X+1 a^6*X+a^5 a*X+a^2 a^6*X+a^3 a*X+a^5 a^5*X a^5*X+a^7 2 a^7*X+a a^3*X 2*X+a^6 X a^6*X+a^3 a^2*X+a^2 X+a^2 a^6*X+a^6 a^7 2*X+a^3 a^6*X+1 a^5*X+a 2*X+1 a^3*X+a^5 a^7*X+a^6 a 2*X+a a^6*X+a^2 X+2 a^6*X+a^6 a^7*X+2 a^7*X+a a^2*X+a^3 a^2*X+a^5 a^3*X+a^7 a^2*X 2 a^5*X a^5*X+a^5 X+2 2*X+a^3 a*X+a^2 2*X+a^7 1 1 generates a code of length 60 over F9[X]/(X^2) who´s minimum homogenous weight is 460. Homogenous weight enumerator: w(x)=1x^0+3744x^460+8856x^461+72x^464+432x^465+1728x^466+7920x^467+12144x^468+29160x^469+40176x^470+1296x^472+1152x^473+3024x^474+6912x^475+19800x^476+19224x^477+52920x^478+64152x^479+10368x^481+4608x^482+8208x^483+14688x^484+36432x^485+33352x^486+71640x^487+79272x^488+88x^495+32x^504+16x^513+8x^522+16x^531 The gray image is a linear code over GF(9) with n=540, k=6 and d=460. This code was found by Heurico 1.16 in 39.8 seconds.