The generator matrix

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

generates a code of length 24 over F9[X]/(X^2) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+2160x^178+256x^180+2592x^184+8640x^187+184x^189+5832x^192+20736x^193+18360x^196+120x^198+104x^207+64x^216

The gray image is a linear code over GF(9) with n=216, k=5 and d=178.
This code was found by Heurico 1.16 in 0.956 seconds.