The generator matrix

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

generates a code of length 45 over F9[X]/(X^2) who´s minimum homogenous weight is 340.

Homogenous weight enumerator: w(x)=1x^0+4176x^340+208x^342+720x^344+3240x^345+4104x^346+11880x^347+13392x^348+27720x^349+104x^351+11520x^353+22680x^354+17712x^355+31320x^356+23760x^357+49968x^358+136x^360+46080x^362+61560x^363+36504x^364+55944x^365+38664x^366+69768x^367+80x^369+120x^378+80x^387

The gray image is a linear code over GF(9) with n=405, k=6 and d=340.
This code was found by Heurico 1.16 in 22.1 seconds.