The generator matrix

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

generates a code of length 49 over F9[X]/(X^2) who´s minimum homogenous weight is 378.

Homogenous weight enumerator: w(x)=1x^0+1432x^378+4320x^379+1440x^381+5480x^387+10800x^388+1656x^390+11200x^396+19872x^397+2736x^399+48x^405+16x^414+8x^423+16x^432+24x^441

The gray image is a linear code over GF(9) with n=441, k=5 and d=378.
This code was found by Heurico 1.16 in 0.332 seconds.