The generator matrix

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

generates a code of length 88 over F9[X]/(X^2) who´s minimum homogenous weight is 680.

Homogenous weight enumerator: w(x)=1x^0+2664x^680+216x^682+288x^683+1408x^684+3024x^685+4392x^686+6912x^687+14112x^688+20160x^689+2808x^691+5400x^692+4976x^693+16488x^694+13032x^695+15120x^696+28944x^697+34128x^698+6696x^700+11664x^701+9448x^702+25344x^703+19080x^704+20304x^705+35208x^706+39456x^707+13608x^709+17640x^710+13832x^711+30960x^712+21816x^713+21816x^714+32544x^715+37728x^716+104x^720+40x^729+48x^738+32x^747

The gray image is a linear code over GF(9) with n=792, k=6 and d=680.
This code was found by Heurico 1.16 in 47.5 seconds.