The generator matrix

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

generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+306x^117+614x^120+450x^123+264x^126+224x^129+162x^132+82x^135+60x^138+18x^141+2x^144+2x^153+2x^165

The gray image is a linear code over GF(3) with n=186, k=7 and d=117.
This code was found by Heurico 1.16 in 0.116 seconds.