The generator matrix

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

generates a code of length 46 over F9[X]/(X^2) who´s minimum homogenous weight is 333.

Homogenous weight enumerator: w(x)=1x^0+80x^333+288x^339+688x^342+288x^344+288x^345+2088x^346+1944x^348+3744x^349+1296x^351+6912x^353+3024x^354+13176x^355+6048x^357+6912x^358+1088x^360+55296x^362+16416x^363+54864x^364+21744x^366+21600x^367+928x^369+147456x^371+32760x^372+87336x^373+22464x^375+20232x^376+816x^378+776x^387+616x^396+200x^405+72x^414

The gray image is a linear code over GF(9) with n=414, k=6 and d=333.
This code was found by Heurico 1.16 in 25.4 seconds.