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

generates a code of length 66 over F9[X]/(X^2) who´s minimum homogenous weight is 495.

Homogenous weight enumerator: w(x)=1x^0+408x^495+144x^498+216x^499+288x^500+976x^504+288x^505+3528x^507+8856x^508+6480x^509+1120x^513+3024x^514+17712x^516+26568x^517+15120x^518+992x^522+16416x^523+58392x^525+82728x^526+42480x^527+888x^531+32760x^532+77688x^534+91584x^535+40608x^536+624x^540+536x^549+456x^558+272x^567+224x^576+56x^585+8x^594

The gray image is a linear code over GF(9) with n=594, k=6 and d=495.
This code was found by Heurico 1.16 in 38.3 seconds.