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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  6 2X X+3  X 2X+3 2X  6 X+3 2X+3  3  3 2X 2X+3 X+3  X 2X+6 2X+6  3  3 2X+6 X+3  X  0 X+6 2X+3 2X+3 X+6  6 X+6 2X X+3  0  0 2X+6  X 2X  6 X+3  6 X+6 2X+6 X+6  X 2X  3 2X+3  0 2X  0  X 2X+3 X+6  3  3 X+6 X+6  0
 0  0  X 2X+3  6 2X+3  X X+3 2X+6  6 X+3 2X  X 2X+6 2X+3  3 2X  3 X+3 2X X+3 2X+3  3  3 2X  6  X  6 X+6 2X+3  0  0 X+6 X+6 2X+6 X+3 2X+6 X+6  0 2X  6 X+3 X+6 X+6 2X 2X+3  3  0 2X+3 2X X+3 X+6 X+3  0  6  6 X+6  3 2X+6  3

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+102x^116+66x^117+108x^118+108x^119+1578x^120+54x^122+42x^123+54x^124+24x^125+12x^126+36x^128+2x^180

The gray image is a code over GF(3) with n=540, k=7 and d=348.
This code was found by Heurico 1.16 in 0.0885 seconds.