The generator matrix

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

generates a code of length 24 over F9[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+96x^162+216x^168+288x^169+872x^171+3240x^176+5184x^177+3024x^178+1136x^180+5832x^184+51840x^185+41472x^186+16416x^187+1224x^189+46656x^193+207360x^194+110592x^195+32760x^196+1432x^198+1456x^207+344x^216

The gray image is a linear code over GF(9) with n=216, k=6 and d=162.
This code was found by Heurico 1.16 in 11.3 seconds.