The generator matrix

 1  0  0  1  1  1  1  1  1 2X  0  1  X  1  1  1  1  1  1  X  1  1  X  1  1  1  1  0  1  1  1 2X  1  X  1  1  1 2X  0  1  1  1  X  1  0  1  1 2X  1  1  X  1  1  1  1  1  X  1  X  1
 0  1  0  0  X 2X+1  1  2 2X+1  1  1  2 2X 2X+1  1  1 X+2 2X+2  X  1  X 2X+2  1 2X  1 2X 2X+1  0 X+2 2X+2  2  1 X+1  X X+1  X X+1  1  1 X+2 2X  X  X X+2  1 2X X+2  0 2X+2  1 2X X+1 2X+2  0  2  0  1 2X+1  1  0
 0  0  1  1 2X+2 X+2 X+1  0 2X 2X+1 2X+2  X  1  2  1 2X 2X+1  2  X  0 X+2 X+1 X+2 2X+1  1  0 X+2  1  X  2 2X  X 2X+2  1 X+1 2X+2 2X 2X+2  X X+1  2 2X  1  X  0 X+2  1  1 X+1 X+2  1  0  1  0 X+1  1 X+2  X  0 X+1
 0  0  0 2X 2X 2X 2X 2X  X 2X 2X  X 2X  0  X  0  X 2X 2X 2X  0 2X  0 2X  0  0  X  X  X  X 2X  0  X 2X  0  0  X  X 2X  X  X 2X  X  0  X 2X  0  X  X  X  X  0 2X 2X 2X  X 2X  X  X  0

generates a code of length 60 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+552x^114+546x^117+378x^120+238x^123+188x^126+132x^129+108x^132+28x^135+12x^138+2x^144+2x^150

The gray image is a linear code over GF(3) with n=180, k=7 and d=114.
This code was found by Heurico 1.16 in 22.1 seconds.