The generator matrix

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

generates a code of length 47 over F9[X]/(X^2) who´s minimum homogenous weight is 342.

Homogenous weight enumerator: w(x)=1x^0+144x^342+288x^347+856x^351+144x^352+1080x^353+720x^354+1440x^355+4104x^356+1160x^360+3456x^361+12312x^362+4320x^363+5400x^364+13176x^365+1056x^369+27648x^370+65448x^371+18360x^372+19872x^373+41832x^374+880x^378+73728x^379+131112x^380+29088x^381+25776x^382+45576x^383+904x^387+808x^396+480x^405+216x^414+56x^423

The gray image is a linear code over GF(9) with n=423, k=6 and d=342.
This code was found by Heurico 1.16 in 26.1 seconds.