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

generates a code of length 88 over F9[X]/(X^2) who´s minimum homogenous weight is 688.

Homogenous weight enumerator: w(x)=1x^0+2016x^688+2160x^692+1768x^693+4032x^694+2592x^695+9144x^697+3456x^701+1736x^702+2304x^703+648x^704+4176x^706+6048x^710+2920x^711+5328x^712+2592x^713+7992x^715+72x^720+24x^729+32x^738+8x^747

The gray image is a linear code over GF(9) with n=792, k=5 and d=688.
This code was found by Heurico 1.16 in 1.29 seconds.