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

generates a code of length 80 over F9[X]/(X^2) who´s minimum homogenous weight is 621.

Homogenous weight enumerator: w(x)=1x^0+7448x^621+15408x^622+11088x^623+3168x^624+2160x^627+2160x^628+32832x^630+49968x^631+24480x^632+5976x^633+5400x^636+3456x^637+52640x^639+69624x^640+34416x^641+7056x^642+9936x^645+6048x^646+65232x^648+80784x^649+34992x^650+7128x^651+16x^666+24x^675

The gray image is a linear code over GF(9) with n=720, k=6 and d=621.
This code was found by Heurico 1.16 in 42.2 seconds.