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

generates a code of length 74 over F9[X]/(X^2) who´s minimum homogenous weight is 575.

Homogenous weight enumerator: w(x)=1x^0+1224x^575+88x^576+2160x^579+1080x^580+3024x^581+2592x^583+6408x^584+288x^585+5400x^588+1728x^589+3024x^590+648x^592+2952x^593+144x^594+9936x^597+3024x^598+5616x^599+2592x^601+6912x^602+128x^603+32x^612+32x^621+16x^639

The gray image is a linear code over GF(9) with n=666, k=5 and d=575.
This code was found by Heurico 1.16 in 0.591 seconds.