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

generates a code of length 75 over F9[X]/(X^2) who´s minimum homogenous weight is 581.

Homogenous weight enumerator: w(x)=1x^0+9792x^581+11808x^582+10224x^583+72x^584+352x^585+432x^586+2880x^587+6480x^588+41112x^590+34128x^591+22464x^592+1152x^593+1728x^594+1728x^595+7200x^596+10368x^597+64656x^599+53784x^600+34560x^601+4608x^602+4376x^603+3672x^604+13248x^605+18144x^606+82728x^608+57744x^609+31896x^610+48x^621+32x^630+8x^639+8x^648+8x^657

The gray image is a linear code over GF(9) with n=675, k=6 and d=581.
This code was found by Heurico 1.16 in 65.4 seconds.