The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  X a*X  1  1  1 a*X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2*X  1  0
 0  1  1  a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7  0 a^7 a^5 a^7*X+a^6 a^3  1  a a^7*X+a^2 a^7*X+1 a^7*X+2 a^7 a^7*X+a^6 a^7*X+a^2 a^3  1  a a^7*X+1 a^6*X+a^6 a^7*X+1 X+a^3 a^6*X+a^2  0 a^5*X+1 X+a a^2*X+a  1  1 X+a^7 X+a^3 a^3*X+a^3  1 a^6*X+a^2 a^6*X+a^6  X a^3*X+1 a^5 X+a^5 2*X+1 a^6*X+a^6 a^6*X+a^2 a^3*X+a^3 a^2*X+a^3 a^6*X+a^6 a^2*X+a^3 a*X+a^2 a^3*X+a^6  X a^5*X+a^6  1 a^6*X+1  1
 0  0 a^7*X  0 a^7*X  X a^6*X a^6*X 2*X a*X a^7*X a*X  X a*X  X  X a^6*X 2*X a^7*X a^2*X a^6*X 2*X  0 a*X 2*X 2*X  X a*X a^5*X a^3*X a^5*X a^3*X a^2*X a^2*X a^7*X 2*X a^5*X 2*X a^5*X a*X  X a^6*X a^2*X a^7*X  0 a^6*X  X a^3*X a^7*X a^6*X a*X a^7*X a*X a^2*X a^6*X a^2*X a^7*X 2*X a^2*X  0 a^6*X
 0  0  0  X a^7*X a^7*X  X a*X  X a^2*X a^5*X a^6*X a^5*X a^3*X  0 a^6*X a^2*X a^7*X a*X a^2*X a^5*X a*X a^6*X 2*X  0 a^2*X a*X  0 a^6*X a^7*X  X a^5*X 2*X a^6*X a^6*X a^5*X a*X a^5*X a^3*X a^2*X  X a^6*X 2*X a^3*X 2*X a^6*X  X  0 a^5*X a^5*X a^7*X  0 a^7*X a^2*X  X a^7*X 2*X 2*X  0 a^3*X a^7*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+632x^459+648x^460+864x^461+576x^465+1368x^466+3520x^468+5760x^469+8064x^470+648x^472+6048x^474+8856x^475+7808x^477+15120x^478+17280x^479+10368x^481+32832x^483+36504x^484+21504x^486+43200x^487+42768x^488+41472x^490+65520x^492+58248x^493+23824x^495+40248x^496+36000x^497+560x^504+472x^513+280x^522+272x^531+152x^540+24x^549

The gray image is a linear code over GF(9) with n=549, k=6 and d=459.
This code was found by Heurico 1.16 in 46.7 seconds.