The generator matrix

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

generates a code of length 39 over F9[X]/(X^2) who´s minimum homogenous weight is 297.

Homogenous weight enumerator: w(x)=1x^0+744x^297+2160x^298+1440x^299+4856x^306+8640x^307+3600x^308+12504x^315+18360x^316+6624x^317+40x^324+16x^333+24x^342+40x^351

The gray image is a linear code over GF(9) with n=351, k=5 and d=297.
This code was found by Heurico 1.16 in 0.255 seconds.