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  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  X  1  1 a^7*X  1  1  1  1  1  1  1  1  1  1 2*X  1  1  1  1  1  1  1  1  1  0 a^3*X  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 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^6*X+a^6  X a^5 a*X a^6*X+2 a^7*X+a^2 a^7 X+a^3 a^6*X+2 a^7*X+1 X+a^5  1 X+a^5 a^7*X+a^5 a^6*X+a^2 a^6*X+a^6 a^5*X+a^2 X+a^3 a*X+a^5 X+a^3 a^6*X+1 X+a^7 X+a a^6*X+2  1 X+a^5 2*X+1 X+a^7 X+a X+a^2  X  1 X+a  a  1 a^3*X+a^6 X+a^7 a^6*X+a^7 a^2*X+a^6 a*X+a^3 2*X+a^6 2*X+1 a^5*X+2 a^6*X+a^3 a^7*X+a  1 a^2*X+a^2 X+a^7 2*X+a^6 a^7*X+1 2*X+2 a^2*X+a^7 a^6 a^5 a^2*X+a^7  1  1 X+a^5 2*X+a^6 2*X+a^6 a^7  0
 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 a^5*X a^5*X 2*X a*X  X  0 a^7*X 2*X  0 a^2*X  0 a^3*X a^5*X a^5*X a^6*X  X a^7*X a^3*X a*X a^5*X a^2*X  X a^6*X a^2*X  0 a^6*X a^3*X 2*X a*X a^5*X a^2*X a^2*X  0  X a*X a^6*X a^6*X a^6*X  0  X a^5*X a^2*X 2*X  0  X a^3*X a^5*X a^7*X a^2*X 2*X a*X  0  0 a^7*X a^6*X a^7*X a*X a^2*X a^6*X a^2*X  X  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 2*X a*X a^6*X 2*X a^3*X a^7*X 2*X a^6*X a^6*X a^7*X  X  0 2*X a^5*X a^3*X  0  0 2*X a^2*X a^6*X a^5*X 2*X  X a^5*X a^6*X a^6*X a^5*X a^7*X  X  0 a*X  0 a^2*X a^3*X a^2*X a^3*X 2*X  0 a^7*X a^2*X a^6*X a^2*X a^5*X a^2*X 2*X 2*X a^5*X a^3*X  X  0 a^6*X a^5*X  X a*X  X a*X a^6*X a^2*X a^6*X a^7*X a^7*X a*X

generates a code of length 89 over F9[X]/(X^2) who´s minimum homogenous weight is 675.

Homogenous weight enumerator: w(x)=1x^0+232x^675+72x^679+360x^683+1696x^684+1656x^686+1368x^687+1872x^688+3960x^692+13472x^693+9576x^695+5544x^696+6552x^697+13176x^701+32072x^702+19656x^704+10800x^705+11160x^706+41976x^710+85232x^711+41976x^713+20448x^714+20160x^715+45504x^719+81944x^720+32112x^722+14328x^723+12672x^724+432x^729+512x^738+320x^747+288x^756+160x^765+96x^774+32x^783+24x^792

The gray image is a linear code over GF(9) with n=801, k=6 and d=675.
This code was found by Heurico 1.16 in 53.5 seconds.