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 1 1 1 X 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 1 1 1 a^3*X 1 1 1 1 1 1 1 1 1 a^3*X 1 2*X 1 1 1 1 a*X 1 1 1 1 1 1 0 a^2*X 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^5 X+a a^6*X+a^2 a^6*X+2 X+a^3 a^6*X+a^6 X+a^5 1 X a^6*X+1 X+a^7 2*X+a^2 a*X a^5*X+1 a^3*X+a 1 a*X+a^3 a^5*X+2 a*X+a^5 a^5*X+a^6 2*X+a^2 a*X a^5*X+1 a^6*X+a^3 a^2*X+2 a*X+a^7 a^3*X+a 1 a^6*X+1 a*X+2 a^2*X+a^5 a^2*X+a^6 a^6*X+a^7 2*X+a^6 a^6*X+a^3 a^2*X+a^5 a^5*X+a^7 1 a^5*X+a^3 1 2*X+a^6 a^6*X+a^7 a^5*X+a^3 a^5*X+a^7 1 a*X+a^5 1 a^3 X+a^7 a*X+a^7 a*X+a^3 1 1 a^3*X X+a^2 a^2 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^2*X a^7*X a*X 2*X 0 X 2*X X X 2*X a^7*X a^5*X a^6*X a*X a^3*X a^3*X a^5*X a^2*X a*X 0 a^7*X 2*X X a^2*X 0 a^5*X 0 a^2*X a^5*X X a^3*X a*X a^6*X a^2*X 2*X a^5*X a*X a^7*X a^6*X a*X 2*X a^3*X a^3*X 0 2*X a^6*X a^2*X a^5*X a^6*X a^7*X a^2*X X 0 a*X 0 a^5*X generates a code of length 85 over F9[X]/(X^2) who´s minimum homogenous weight is 664. Homogenous weight enumerator: w(x)=1x^0+1296x^664+184x^666+1080x^668+2952x^669+7920x^670+7560x^673+208x^675+1728x^677+3168x^678+4896x^679+2376x^682+160x^684+3024x^686+5544x^687+10512x^688+6264x^691+88x^693+56x^702+8x^711+16x^720+8x^729 The gray image is a linear code over GF(9) with n=765, k=5 and d=664. This code was found by Heurico 1.16 in 0.742 seconds.