The generator matrix

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

generates a code of length 6 over F9[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+120x^36+3888x^40+240x^45+23328x^48+31104x^49+368x^54

The gray image is a linear code over GF(9) with n=54, k=5 and d=36.
This code was found by Heurico 1.16 in 0.0144 seconds.