The generator matrix

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

generates a code of length 6 over F9[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+1080x^32+120x^36+19440x^40+17280x^41+240x^45+268272x^48+155520x^49+69120x^50+368x^54

The gray image is a linear code over GF(9) with n=54, k=6 and d=32.
This code was found by Heurico 1.16 in 0.897 seconds.