The generator matrix

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

generates a code of length 71 over F9[X]/(X^2) who´s minimum homogenous weight is 549.

Homogenous weight enumerator: w(x)=1x^0+9296x^549+10152x^550+5400x^551+648x^553+2160x^554+2160x^555+10800x^556+42976x^558+35928x^559+14760x^560+4536x^562+8640x^563+5400x^564+17280x^565+63344x^567+49320x^568+19080x^569+12312x^571+18360x^572+9936x^573+30240x^574+83232x^576+56232x^577+19080x^578+80x^585+24x^594+40x^603+24x^612

The gray image is a linear code over GF(9) with n=639, k=6 and d=549.
This code was found by Heurico 1.16 in 37.6 seconds.