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  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^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 a^2*X a^7*X

generates a code of length 19 over F9[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+64x^135+144x^136+432x^137+432x^138+3528x^144+2304x^145+3024x^146+1728x^147+26040x^153+9216x^154+8208x^155+3672x^156+160x^162+96x^171

The gray image is a linear code over GF(9) with n=171, k=5 and d=135.
This code was found by Heurico 1.16 in 0.114 seconds.