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

generates a code of length 60 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+164x^114+174x^117+486x^118+58x^120+972x^121+248x^123+62x^126+2x^135+8x^138+2x^144+6x^147+2x^150+2x^153

The gray image is a code over GF(3) with n=540, k=7 and d=342.
This code was found by Heurico 1.16 in 1.75 seconds.