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

generates a code of length 84 over F9[X]/(X^2) who´s minimum homogenous weight is 656.

Homogenous weight enumerator: w(x)=1x^0+1512x^656+136x^657+7560x^661+4032x^662+6912x^665+192x^666+7560x^670+2304x^671+3024x^674+232x^675+14040x^679+5328x^680+6048x^683+72x^684+72x^693+16x^702+8x^711

The gray image is a linear code over GF(9) with n=756, k=5 and d=656.
This code was found by Heurico 1.16 in 0.697 seconds.