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

generates a code of length 32 over F9[X]/(X^2) who´s minimum homogenous weight is 242.

Homogenous weight enumerator: w(x)=1x^0+2592x^242+896x^243+1944x^248+10368x^251+2120x^252+15552x^257+22032x^260+3392x^261+48x^270+64x^279+40x^288

The gray image is a linear code over GF(9) with n=288, k=5 and d=242.
This code was found by Heurico 1.16 in 0.196 seconds.