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

generates a code of length 32 over F9[X]/(X^2) who´s minimum homogenous weight is 241.

Homogenous weight enumerator: w(x)=1x^0+3456x^241+16416x^242+16016x^243+6480x^248+24192x^250+65664x^251+39904x^252+29160x^256+51840x^257+65664x^259+139536x^260+72992x^261+80x^279+40x^288

The gray image is a linear code over GF(9) with n=288, k=6 and d=241.
This code was found by Heurico 1.16 in 12.3 seconds.