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

generates a code of length 35 over F9[X]/(X^2) who´s minimum homogenous weight is 265.

Homogenous weight enumerator: w(x)=1x^0+1944x^265+16416x^266+24480x^267+272x^270+648x^272+13608x^274+65664x^275+61200x^276+304x^279+52488x^280+5184x^281+36936x^283+139536x^284+112608x^285+72x^288+8x^306+72x^315

The gray image is a linear code over GF(9) with n=315, k=6 and d=265.
This code was found by Heurico 1.16 in 26.5 seconds.