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

generates a code of length 46 over F9[X]/(X^2) who´s minimum homogenous weight is 351.

Homogenous weight enumerator: w(x)=1x^0+80x^351+432x^353+1728x^354+720x^355+2160x^356+1440x^357+280x^360+3024x^362+6912x^363+1800x^364+3456x^365+1656x^366+176x^369+8208x^371+14688x^372+3312x^373+6048x^374+2736x^375+96x^378+40x^387+16x^396+24x^405+16x^414

The gray image is a linear code over GF(9) with n=414, k=5 and d=351.
This code was found by Heurico 1.16 in 0.327 seconds.