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

generates a code of length 59 over F9[X]/(X^2) who´s minimum homogenous weight is 441.

Homogenous weight enumerator: w(x)=1x^0+480x^441+288x^443+216x^444+288x^449+3152x^450+4176x^451+4032x^452+3024x^453+3024x^458+14264x^459+16632x^460+13392x^461+7776x^462+16416x^467+55960x^468+59184x^469+41616x^470+21168x^471+32760x^476+88192x^477+77472x^478+45648x^479+20304x^480+592x^486+512x^495+456x^504+296x^513+96x^522+24x^531

The gray image is a linear code over GF(9) with n=531, k=6 and d=441.
This code was found by Heurico 1.16 in 33 seconds.