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

generates a code of length 62 over F9[X]/(X^2) who´s minimum homogenous weight is 476.

Homogenous weight enumerator: w(x)=1x^0+4536x^476+6112x^477+3456x^478+72x^480+648x^481+1296x^482+2160x^483+14040x^484+38232x^485+29928x^486+10152x^487+1296x^488+1152x^489+4536x^490+5184x^491+5400x^492+22464x^493+64152x^494+47072x^495+15984x^496+10368x^497+4608x^498+12312x^499+11016x^500+9936x^501+39312x^502+91368x^503+57488x^504+17064x^505+24x^513+24x^522+24x^531+8x^540+16x^549

The gray image is a linear code over GF(9) with n=558, k=6 and d=476.
This code was found by Heurico 1.16 in 30.9 seconds.