The generator matrix

 1  0  0  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^3
 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

generates a code of length 15 over F9[X]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+2160x^104+5400x^105+200x^108+9720x^112+34560x^113+37800x^114+240x^117+122472x^120+77760x^121+138240x^122+102600x^123+120x^126+168x^135

The gray image is a linear code over GF(9) with n=135, k=6 and d=104.
This code was found by Heurico 1.16 in 4.35 seconds.