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

generates a code of length 81 over F9[X]/(X^2) who´s minimum homogenous weight is 631.

Homogenous weight enumerator: w(x)=1x^0+1224x^631+1080x^636+4536x^637+6048x^638+304x^639+5688x^640+1728x^645+4536x^646+3456x^647+192x^648+4392x^649+3024x^654+8424x^655+7992x^656+160x^657+6192x^658+48x^666+8x^675+8x^684+8x^720

The gray image is a linear code over GF(9) with n=729, k=5 and d=631.
This code was found by Heurico 1.16 in 2.68 seconds.