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

generates a code of length 61 over F9[X]/(X^2) who´s minimum homogenous weight is 459.

Homogenous weight enumerator: w(x)=1x^0+744x^459+1072x^468+648x^472+1192x^477+10368x^481+864x^486+41472x^490+792x^495+656x^504+504x^513+360x^522+264x^531+80x^540+32x^549

The gray image is a linear code over GF(9) with n=549, k=5 and d=459.
This code was found by Heurico 1.16 in 1.23 seconds.