The generator matrix

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

generates a code of length 62 over F9[X]/(X^2) who´s minimum homogenous weight is 459.

Homogenous weight enumerator: w(x)=1x^0+80x^459+848x^468+1040x^477+648x^480+1168x^486+10368x^489+816x^495+41472x^498+776x^504+632x^513+464x^522+360x^531+264x^540+80x^549+32x^558

The gray image is a linear code over GF(9) with n=558, k=5 and d=459.
This code was found by Heurico 1.16 in 1.31 seconds.