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

generates a code of length 49 over F9[X]/(X^2) who´s minimum homogenous weight is 360.

Homogenous weight enumerator: w(x)=1x^0+248x^360+216x^362+216x^364+2800x^369+720x^370+2520x^371+3024x^373+19240x^378+4320x^379+10584x^380+7776x^382+99560x^387+18360x^388+40392x^389+21168x^391+197432x^396+29088x^397+51264x^398+20304x^400+848x^405+608x^414+528x^423+176x^432+48x^441

The gray image is a linear code over GF(9) with n=441, k=6 and d=360.
This code was found by Heurico 1.16 in 27.3 seconds.