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

generates a code of length 34 over F9[X]/(X^2) who´s minimum homogenous weight is 259.

Homogenous weight enumerator: w(x)=1x^0+4320x^259+280x^261+2592x^264+10800x^268+240x^270+20736x^273+19872x^277+72x^279+32x^288+80x^297+24x^306

The gray image is a linear code over GF(9) with n=306, k=5 and d=259.
This code was found by Heurico 1.16 in 0.309 seconds.