The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+162x^104+274x^105+690x^106+1092x^107+1008x^108+2238x^109+2310x^110+2190x^111+3816x^112+4686x^113+3928x^114+6210x^115+7470x^116+5642x^117+9414x^118+10176x^119+7738x^120+11244x^121+12492x^122+8742x^123+11910x^124+10878x^125+7444x^126+9822x^127+8736x^128+5058x^129+6396x^130+4842x^131+2620x^132+2718x^133+2028x^134+976x^135+990x^136+594x^137+236x^138+144x^139+120x^140+40x^141+18x^142+24x^143+18x^144+4x^147+2x^150+4x^153+2x^156

The gray image is a linear code over GF(3) with n=183, k=11 and d=104.
This code was found by Heurico 1.16 in 467 seconds.