The generator matrix

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

generates a code of length 63 over F9[X]/(X^2) who´s minimum homogenous weight is 484.

Homogenous weight enumerator: w(x)=1x^0+3600x^484+9216x^485+3096x^486+216x^488+648x^489+432x^490+2880x^491+14040x^492+26928x^493+37656x^494+13432x^495+648x^496+3456x^497+4536x^498+1728x^499+7200x^500+22464x^501+48744x^502+62928x^503+17264x^504+5184x^505+13824x^506+12312x^507+3672x^508+13248x^509+39312x^510+66528x^511+76824x^512+19328x^513+32x^522+8x^531+24x^540+24x^549+8x^558

The gray image is a linear code over GF(9) with n=567, k=6 and d=484.
This code was found by Heurico 1.16 in 31.3 seconds.