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

generates a code of length 61 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+108x^119+194x^120+356x^123+8x^126+54x^128+2x^129+4x^132+2x^156

The gray image is a code over GF(3) with n=549, k=6 and d=357.
This code was found by Heurico 1.16 in 0.244 seconds.