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

generates a code of length 60 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+138x^117+162x^118+18x^120+324x^121+18x^123+64x^126+2x^135+2x^153

The gray image is a code over GF(3) with n=540, k=6 and d=351.
This code was found by Heurico 1.16 in 0.245 seconds.