The generator matrix

 1  0  0  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*X
 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^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+88x^135+2304x^136+6408x^137+4176x^138+5424x^144+26496x^145+45504x^146+20160x^147+104976x^152+41664x^153+111168x^154+123048x^155+39816x^156+64x^162+144x^171

The gray image is a linear code over GF(9) with n=171, k=6 and d=135.
This code was found by Heurico 1.16 in 6.5 seconds.