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

generates a code of length 62 over F9[X]/(X^2) who´s minimum homogenous weight is 484.

Homogenous weight enumerator: w(x)=1x^0+8640x^484+3024x^485+224x^486+13824x^493+3024x^494+296x^495+24192x^502+5616x^503+160x^504+24x^513+16x^549+8x^558

The gray image is a linear code over GF(9) with n=558, k=5 and d=484.
This code was found by Heurico 1.16 in 0.444 seconds.