The generator matrix

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

generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+376x^114+1036x^117+1274x^120+976x^123+996x^126+782x^129+574x^132+382x^135+116x^138+36x^141+4x^144+6x^147+2x^153

The gray image is a linear code over GF(3) with n=186, k=8 and d=114.
This code was found by Heurico 1.16 in 0.685 seconds.