The generator matrix

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

generates a code of length 29 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+122x^48+282x^50+224x^51+162x^52+408x^53+1290x^54+972x^55+1218x^56+4404x^57+1944x^58+1284x^59+4404x^60+1296x^61+942x^62+256x^63+240x^65+144x^66+48x^69+28x^72+10x^75+4x^78

The gray image is a code over GF(3) with n=261, k=9 and d=144.
This code was found by Heurico 1.16 in 0.839 seconds.