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

generates a code of length 41 over F9[X]/(X^2) who´s minimum homogenous weight is 297.

Homogenous weight enumerator: w(x)=1x^0+256x^297+72x^298+72x^299+144x^304+576x^305+1696x^306+5256x^307+2088x^308+3456x^313+6048x^314+5568x^315+22680x^316+6912x^317+27648x^322+32832x^323+19320x^324+78552x^325+20448x^326+73728x^331+65520x^332+30120x^333+103392x^334+22968x^335+904x^342+712x^351+416x^360+56x^369

The gray image is a linear code over GF(9) with n=369, k=6 and d=297.
This code was found by Heurico 1.16 in 22.2 seconds.