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

generates a code of length 83 over F9[X]/(X^2) who´s minimum homogenous weight is 630.

Homogenous weight enumerator: w(x)=1x^0+376x^630+1072x^639+1176x^648+920x^657+52488x^664+832x^666+560x^675+488x^684+360x^693+296x^702+208x^711+176x^720+64x^729+24x^738+8x^747

The gray image is a linear code over GF(9) with n=747, k=5 and d=630.
This code was found by Heurico 1.16 in 1.82 seconds.