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

generates a code of length 74 over F9[X]/(X^2) who´s minimum homogenous weight is 573.

Homogenous weight enumerator: w(x)=1x^0+4536x^573+15840x^574+9864x^575+280x^576+648x^577+1296x^578+720x^579+8640x^580+1512x^581+24696x^582+49248x^583+23760x^584+2600x^585+4536x^586+5184x^587+1800x^588+13824x^589+1512x^590+35496x^591+69768x^592+33048x^593+9368x^594+12312x^595+11016x^596+3312x^597+24192x^598+2808x^599+46080x^600+80928x^601+32472x^602+8x^603+64x^612+8x^621+24x^630+24x^639+16x^648

The gray image is a linear code over GF(9) with n=666, k=6 and d=573.
This code was found by Heurico 1.16 in 94.3 seconds.