The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1 2X  1  1  1  3  1  1  1 X+3  1  1  1 2X+3  1  1  1  1
 0  1 2X+7  8 X+6 X+1 X+5  1 2X  7 2X+8  1  3 2X+4  2  1 X+3 X+4 X+2  1 2X+3  4 2X+2  1  6  X 2X+1 X+7

generates a code of length 28 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+312x^55+252x^56+156x^58+4x^60+4x^66

The gray image is a code over GF(3) with n=252, k=6 and d=165.
This code was found by Heurico 1.16 in 0.00323 seconds.