The generator matrix

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

generates a code of length 29 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+480x^55+300x^56+10x^57+450x^58+414x^59+10x^60+468x^61+36x^62+2x^63+6x^64+6x^65+2x^66+2x^69

The gray image is a code over GF(3) with n=261, k=7 and d=165.
This code was found by Heurico 1.16 in 9.39 seconds.