The generator matrix

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

generates a code of length 48 over F9[X]/(X^2) who´s minimum homogenous weight is 364.

Homogenous weight enumerator: w(x)=1x^0+5184x^364+648x^368+1984x^369+3744x^370+10656x^371+17928x^372+33264x^373+648x^376+10368x^377+12232x^378+15840x^379+27288x^380+30240x^381+63072x^382+5184x^385+41472x^386+32952x^387+32904x^388+49536x^389+50976x^390+85104x^391+72x^396+64x^405+72x^414+8x^423

The gray image is a linear code over GF(9) with n=432, k=6 and d=364.
This code was found by Heurico 1.16 in 28.7 seconds.