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

generates a code of length 73 over F9[X]/(X^2) who´s minimum homogenous weight is 549.

Homogenous weight enumerator: w(x)=1x^0+240x^549+144x^550+144x^555+864x^557+1848x^558+1296x^559+576x^561+720x^562+6552x^564+8064x^566+5992x^567+5040x^568+6048x^570+4320x^571+20304x^573+17280x^575+10584x^576+11304x^577+32832x^579+18360x^580+61632x^582+42768x^584+22048x^585+20520x^586+65520x^588+29088x^589+68832x^591+36000x^593+16632x^594+14184x^595+512x^603+480x^612+320x^621+184x^630+176x^639+32x^648

The gray image is a linear code over GF(9) with n=657, k=6 and d=549.
This code was found by Heurico 1.16 in 44.3 seconds.