The generator matrix

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

generates a code of length 24 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+66x^40+142x^42+168x^43+132x^45+798x^46+3096x^48+1602x^49+180x^51+210x^52+68x^54+66x^55+6x^58+18x^60+6x^63+2x^69

The gray image is a code over GF(3) with n=216, k=8 and d=120.
This code was found by Heurico 1.16 in 0.0797 seconds.