The generator matrix

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

generates a code of length 82 over F9[X]/(X^2) who´s minimum homogenous weight is 639.

Homogenous weight enumerator: w(x)=1x^0+1016x^639+504x^640+2160x^644+4536x^645+2016x^646+6816x^648+2304x^649+3456x^653+4536x^654+1152x^655+3688x^657+1008x^658+6048x^662+8424x^663+2664x^664+6584x^666+2016x^667+72x^675+32x^684+8x^693+8x^702

The gray image is a linear code over GF(9) with n=738, k=5 and d=639.
This code was found by Heurico 1.16 in 0.683 seconds.