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

generates a code of length 24 over F9[X]/(X^2) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+864x^176+7344x^177+11664x^178+216x^180+3888x^184+13824x^185+51408x^186+46656x^187+272x^189+69984x^192+31104x^193+55296x^194+139536x^195+99144x^196+96x^198+48x^207+96x^216

The gray image is a linear code over GF(9) with n=216, k=6 and d=176.
This code was found by Heurico 1.16 in 8.59 seconds.