The generator matrix

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

generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+40x^105+212x^108+36x^109+54x^110+422x^111+108x^112+168x^113+690x^114+306x^115+372x^116+966x^117+432x^118+600x^119+1624x^120+696x^121+798x^122+1744x^123+1026x^124+822x^125+1734x^126+864x^127+816x^128+1632x^129+588x^130+528x^131+1032x^132+234x^133+156x^134+424x^135+72x^136+42x^137+212x^138+12x^139+18x^140+94x^141+34x^144+42x^147+18x^150+4x^153+10x^156

The gray image is a linear code over GF(3) with n=186, k=9 and d=105.
This code was found by Heurico 1.16 in 6.37 seconds.