The generator matrix

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

generates a code of length 60 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+244x^105+270x^106+540x^107+1088x^108+1002x^109+1338x^110+1880x^111+1698x^112+1818x^113+2562x^114+2304x^115+2490x^116+3766x^117+2874x^118+2844x^119+4356x^120+3048x^121+2988x^122+4112x^123+2706x^124+2670x^125+3310x^126+1998x^127+1728x^128+1766x^129+1074x^130+810x^131+766x^132+444x^133+240x^134+196x^135+66x^136+30x^137+6x^138+12x^139+2x^141+2x^147

The gray image is a linear code over GF(3) with n=180, k=10 and d=105.
This code was found by Heurico 1.16 in 45.8 seconds.