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
 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 a^2*X 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  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 a^2*X 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  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 a^3*X 2*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 2*X  0

generates a code of length 70 over F9[X]/(X^2) who´s minimum homogenous weight is 522.

Homogenous weight enumerator: w(x)=1x^0+120x^522+720x^531+1192x^540+648x^544+976x^549+10368x^553+904x^558+41472x^562+752x^567+616x^576+384x^585+408x^594+248x^603+176x^612+56x^621+8x^630

The gray image is a linear code over GF(9) with n=630, k=5 and d=522.
This code was found by Heurico 1.16 in 1.49 seconds.