The generator matrix

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

generates a code of length 47 over F9[X]/(X^2) who´s minimum homogenous weight is 356.

Homogenous weight enumerator: w(x)=1x^0+4680x^356+616x^360+2592x^361+5832x^362+9864x^363+12600x^364+34848x^365+1296x^368+5856x^369+18144x^370+24624x^371+25632x^372+21456x^373+61416x^374+10368x^377+23152x^378+49248x^379+51192x^380+46152x^381+35928x^382+85680x^383+112x^387+96x^396+40x^405+16x^414

The gray image is a linear code over GF(9) with n=423, k=6 and d=356.
This code was found by Heurico 1.16 in 22.6 seconds.