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

generates a code of length 69 over F9[X]/(X^2) who´s minimum homogenous weight is 534.

Homogenous weight enumerator: w(x)=1x^0+216x^534+1440x^539+2296x^540+3024x^541+6048x^542+1872x^543+3600x^548+3816x^549+3024x^550+3456x^551+1440x^552+6624x^557+6168x^558+5616x^559+7992x^560+2304x^561+72x^567+24x^576+8x^594+8x^621

The gray image is a linear code over GF(9) with n=621, k=5 and d=534.
This code was found by Heurico 1.16 in 0.535 seconds.