The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+102x^118+132x^119+56x^120+138x^121+108x^122+4x^123+36x^124+60x^125+2x^126+12x^127+12x^128+2x^129+18x^130+6x^131+8x^132+6x^133+6x^137+8x^138+12x^139

The gray image is a linear code over GF(3) with n=183, k=6 and d=118.
This code was found by Heurico 1.16 in 0.044 seconds.