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

generates a code of length 51 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+48x^101+172x^102+12x^105+2x^108+6x^110+2x^129

The gray image is a code over GF(3) with n=459, k=5 and d=303.
This code was found by Heurico 1.16 in 0.0346 seconds.