The generator matrix

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

generates a code of length 54 over F9[X]/(X^2) who´s minimum homogenous weight is 419.

Homogenous weight enumerator: w(x)=1x^0+5040x^419+2160x^420+1512x^421+320x^423+12600x^428+3456x^429+1512x^430+216x^432+23184x^437+6048x^438+2808x^439+136x^441+16x^450+8x^459+8x^468+24x^486

The gray image is a linear code over GF(9) with n=486, k=5 and d=419.
This code was found by Heurico 1.16 in 53.5 seconds.