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  1  1  1
 0  6  0  0  6  0  6  6  3  0  0  6  6  0  3  6  3  3  0  6  3  0  6  3  3  3  3  0  0
 0  0  6  0  3  6  3  6  3  0  6  6  0  3  0  0  6  6  3  3  3  3  6  0  0  6  3  0  0
 0  0  0  6  3  3  0  3  3  3  6  0  3  0  3  6  6  0  6  6  6  3  6  0  6  3  0  0  0

generates a code of length 29 over Z9[X]/(X^2+3,3X) who�s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+26x^54+648x^58+52x^60+2x^87

The gray image is a code over GF(3) with n=261, k=6 and d=162.
This code was found by Heurico 1.16 in 0.00643 seconds.