The generator matrix

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

generates a code of length 31 over F9[X]/(X^2) who´s minimum homogenous weight is 233.

Homogenous weight enumerator: w(x)=1x^0+3672x^233+19128x^234+10800x^235+5184x^240+25704x^242+76384x^243+27000x^244+40824x^248+41472x^249+69768x^251+161704x^252+49680x^253+64x^270+56x^279

The gray image is a linear code over GF(9) with n=279, k=6 and d=233.
This code was found by Heurico 1.16 in 11.7 seconds.