The generator matrix

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

generates a code of length 33 over F9[X]/(X^2) who´s minimum homogenous weight is 234.

Homogenous weight enumerator: w(x)=1x^0+224x^234+216x^240+288x^241+1296x^242+2504x^243+648x^248+5184x^249+3024x^250+9072x^251+6424x^252+11664x^256+10368x^257+41472x^258+16416x^259+36288x^260+20960x^261+93312x^265+41472x^266+110592x^267+32760x^268+58320x^269+27008x^270+1112x^279+680x^288+136x^297

The gray image is a linear code over GF(9) with n=297, k=6 and d=234.
This code was found by Heurico 1.16 in 17 seconds.