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

generates a code of length 53 over F9[X]/(X^2) who´s minimum homogenous weight is 411.

Homogenous weight enumerator: w(x)=1x^0+5040x^411+3240x^412+280x^414+12600x^420+5184x^421+240x^423+23184x^429+9072x^430+136x^432+24x^441+8x^450+16x^459+8x^468+16x^477

The gray image is a linear code over GF(9) with n=477, k=5 and d=411.
This code was found by Heurico 1.16 in 0.731 seconds.