The generator matrix

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

generates a code of length 71 over F9[X]/(X^2) who´s minimum homogenous weight is 531.

Homogenous weight enumerator: w(x)=1x^0+192x^531+792x^540+1136x^549+648x^552+984x^558+10368x^561+936x^567+41472x^570+704x^576+576x^585+368x^594+408x^603+256x^612+144x^621+56x^630+8x^639

The gray image is a linear code over GF(9) with n=639, k=5 and d=531.
This code was found by Heurico 1.16 in 1.5 seconds.