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

generates a code of length 42 over F9[X]/(X^2) who´s minimum homogenous weight is 323.

Homogenous weight enumerator: w(x)=1x^0+6480x^323+1256x^324+16200x^332+2088x^333+29808x^341+3112x^342+32x^351+24x^360+8x^369+40x^378

The gray image is a linear code over GF(9) with n=378, k=5 and d=323.
This code was found by Heurico 1.16 in 13.6 seconds.