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

generates a code of length 53 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+216x^101+256x^102+748x^105+674x^108+270x^110+14x^129+8x^132

The gray image is a code over GF(3) with n=477, k=7 and d=303.
This code was found by Heurico 1.16 in 9.53 seconds.