The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 a^7*X 1 1 1 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 a^3*X 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 a^7*X+a^6 a^7*X+1 a^7*X+a^2 a^3 1 a^7*X+2 0 a^7*X+1 a^7*X+a^6 a^3 1 a a^7*X+2 a^7*X+a^2 a^5 a^7 X a^6*X+a^6 X+a^7 a^6*X+2 1 a^7*X+1 X+a X+a^3 a^6*X+1 X+a^5 a^6*X+a^2 X+a^5 1 a*X+a^3 a^2*X+a^7 a^2*X+a^5 a^6*X+a^6 a^6*X+a^6 a^5*X+a^2 a^5*X+2 a^6*X+2 X+a^3 1 X a^5*X+a^6 X X+a X+a^7 1 X+a^5 a*X+a^3 a^5*X+a^6 X+a a*X+a^5 a^5*X+a^3 a*X+a^5 X+a^7 a*X+a^3 a^5*X+a^6 2*X+a^6 a^5*X+a^7 2*X+a^5 X+a a*X+a^3 a^6*X+2 a^3 a^2*X+a^5 a^5*X+a 2*X+a^3 a^7*X+1 a^7*X+2 a^5*X+1 1 2*X+1 a 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^5*X a*X a^5*X 2*X a*X a^3*X a^5*X a^2*X a^7*X 0 2*X X a^5*X a^5*X a^3*X 0 a^3*X a^2*X a*X 2*X a^2*X 0 a^3*X a^5*X a*X X X a^5*X a^6*X X X a*X 2*X 2*X a*X a^5*X 2*X 2*X a^3*X a^6*X a^3*X 2*X a^3*X a^3*X 0 a^5*X X a^3*X a*X a^3*X 2*X a^5*X a^2*X a^3*X X 0 X a^7*X 2*X a*X a*X a^3*X a^7*X a^7*X a^5*X 0 0 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 2*X a*X a^5*X X 0 X a^7*X a^6*X a*X a*X 2*X a*X a^6*X 0 a^2*X X a^6*X a^7*X X 0 a^3*X a^7*X 0 a^5*X a^5*X a^2*X X a^6*X a^6*X 0 a^5*X a^6*X a^7*X X a^7*X 2*X 0 a^7*X a*X a^6*X 0 a^5*X a^2*X a^2*X a^3*X a^7*X 2*X a*X a^7*X 2*X a^6*X a*X a^6*X 2*X a^5*X a^5*X a^5*X a^7*X a*X a^7*X a^2*X 2*X X a^2*X generates a code of length 85 over F9[X]/(X^2) who´s minimum homogenous weight is 647. Homogenous weight enumerator: w(x)=1x^0+72x^647+688x^648+792x^652+648x^653+720x^654+1368x^655+1800x^656+1040x^657+720x^658+1368x^659+12096x^661+3384x^662+5184x^663+5688x^664+6840x^665+1120x^666+4320x^667+5616x^668+31536x^670+9288x^671+9288x^672+10368x^673+10728x^674+944x^675+18360x^676+19656x^677+84096x^679+21168x^680+21312x^681+20880x^682+20448x^683+632x^684+29088x^685+25848x^686+81432x^688+18000x^689+15984x^690+14184x^691+12600x^692+608x^693+424x^702+408x^711+272x^720+208x^729+128x^738+64x^747+24x^756 The gray image is a linear code over GF(9) with n=765, k=6 and d=647. This code was found by Heurico 1.16 in 50.1 seconds.