The generator matrix

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

generates a code of length 55 over F9[X]/(X^2) who´s minimum homogenous weight is 426.

Homogenous weight enumerator: w(x)=1x^0+864x^426+2160x^427+3240x^428+3024x^429+344x^432+3456x^435+5400x^436+5184x^437+3024x^438+240x^441+7344x^444+9936x^445+9072x^446+5616x^447+96x^450+16x^459+8x^486+24x^495

The gray image is a linear code over GF(9) with n=495, k=5 and d=426.
This code was found by Heurico 1.16 in 2.23 seconds.