The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  0  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  3  3  6  3  0  3  6  0  0  3  6  6  6  3  3  3  6  6  0  0  0  3  3  6  6  3  0  0  0  6  3  0  6  0

generates a code of length 53 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+52x^105+648x^106+26x^108+2x^159

The gray image is a code over GF(3) with n=477, k=6 and d=315.
This code was found by Heurico 1.16 in 0.0437 seconds.