The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+258x^107+372x^108+456x^109+1092x^110+1078x^111+966x^112+2214x^113+1964x^114+1398x^115+3090x^116+2430x^117+1800x^118+3972x^119+3184x^120+2286x^121+4356x^122+3434x^123+2094x^124+4650x^125+3136x^126+1956x^127+3426x^128+2404x^129+1254x^130+2100x^131+1166x^132+666x^133+804x^134+438x^135+216x^136+258x^137+66x^138+30x^139+24x^140+6x^141+4x^144

The gray image is a linear code over GF(3) with n=183, k=10 and d=107.
This code was found by Heurico 1.16 in 49 seconds.