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  0  X  X  0  1  1  1  X  X  1  X  X  1  1  1  1  1  1  1  1  6  6  X
 0  X 2X  0 X+3 2X  6 X+3 2X+6  6 X+6 2X+6  6  0 X+6  X 2X 2X+6  3  3 X+3 X+6 2X+3 2X+3  3  X 2X+3 X+3 2X  X X+3 2X  X  0  0  6 X+6 2X+6  6 X+6 2X+6 X+3 X+3  0 X+6  6 X+6 X+3 X+6  X  X  3
 0  0  6  6  3  3  3  6  0  6  0  6  0  3  6  3  0  3  0  6  0  3  6  3  3  6  0  3  0  6  6  6  0  0  6  3  0  3  6  3  6  3  6  3  3  0  6  0  0  6  0  0

generates a code of length 52 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+372x^102+234x^105+94x^108+24x^111+2x^117+2x^126

The gray image is a code over GF(3) with n=468, k=6 and d=306.
This code was found by Heurico 1.16 in 1.44 seconds.