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

generates a code of length 66 over F9[X]/(X^2) who´s minimum homogenous weight is 513.

Homogenous weight enumerator: w(x)=1x^0+72x^513+1440x^515+2160x^516+7488x^517+2592x^519+280x^522+3600x^524+3456x^525+7704x^526+648x^528+272x^531+6624x^533+6048x^534+13968x^535+2592x^537+56x^540+24x^549+8x^576+16x^585

The gray image is a linear code over GF(9) with n=594, k=5 and d=513.
This code was found by Heurico 1.16 in 48.2 seconds.