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

generates a code of length 50 over F9[X]/(X^2) who´s minimum homogenous weight is 369.

Homogenous weight enumerator: w(x)=1x^0+352x^369+360x^370+144x^371+2504x^378+8856x^379+1800x^380+9888x^387+39312x^388+7344x^389+37592x^396+138312x^397+20160x^398+59096x^405+180576x^406+23040x^407+760x^414+696x^423+400x^432+224x^441+24x^450

The gray image is a linear code over GF(9) with n=450, k=6 and d=369.
This code was found by Heurico 1.16 in 27.6 seconds.