The generator matrix

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

generates a code of length 20 over F9[X]/(X^2) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+304x^144+432x^145+432x^146+2592x^152+3736x^153+3024x^154+1728x^155+20736x^161+13976x^162+8208x^163+3672x^164+104x^171+104x^180

The gray image is a linear code over GF(9) with n=180, k=5 and d=144.
This code was found by Heurico 1.16 in 0.121 seconds.