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

generates a code of length 84 over F9[X]/(X^2) who´s minimum homogenous weight is 653.

Homogenous weight enumerator: w(x)=1x^0+3168x^653+18216x^654+16056x^655+4608x^656+264x^657+14688x^662+62424x^663+39240x^664+9432x^665+1728x^666+23328x^671+82944x^672+48312x^673+10080x^674+4464x^675+28800x^680+98856x^681+53856x^682+10872x^683+96x^684+8x^729

The gray image is a linear code over GF(9) with n=756, k=6 and d=653.
This code was found by Heurico 1.16 in 44.1 seconds.