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

generates a code of length 61 over F9[X]/(X^2) who´s minimum homogenous weight is 468.

Homogenous weight enumerator: w(x)=1x^0+3880x^468+7560x^469+2808x^470+288x^472+648x^473+864x^474+2880x^475+16848x^476+22136x^477+38736x^478+11664x^479+1296x^480+4608x^481+4536x^482+3456x^483+7200x^484+28512x^485+40200x^486+60552x^487+14904x^488+10368x^489+18432x^490+12312x^491+7344x^492+13248x^493+47952x^494+56864x^495+73944x^496+17280x^497+32x^504+16x^513+24x^522+32x^531+16x^540

The gray image is a linear code over GF(9) with n=549, k=6 and d=468.
This code was found by Heurico 1.16 in 30.5 seconds.