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

generates a code of length 26 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+52x^51+648x^52+26x^54+2x^78

The gray image is a code over GF(3) with n=234, k=6 and d=153.
This code was found by Heurico 1.16 in 0.00536 seconds.