The generator matrix

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

generates a code of length 31 over F9[X]/(X^2) who´s minimum homogenous weight is 234.

Homogenous weight enumerator: w(x)=1x^0+1448x^234+2160x^235+2592x^240+5488x^243+5400x^244+20736x^249+11128x^252+9936x^253+40x^261+88x^270+32x^279

The gray image is a linear code over GF(9) with n=279, k=5 and d=234.
This code was found by Heurico 1.16 in 0.191 seconds.