The generator matrix

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

generates a code of length 60 over Z3[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+196x^102+306x^103+390x^104+1566x^105+738x^106+1020x^107+3848x^108+1938x^109+2436x^110+6764x^111+3510x^112+3822x^113+10660x^114+5052x^115+5742x^116+15700x^117+6426x^118+6888x^119+17690x^120+6966x^121+7290x^122+17984x^123+6612x^124+5856x^125+13228x^126+4332x^127+3636x^128+6940x^129+2334x^130+1614x^131+2978x^132+882x^133+558x^134+662x^135+210x^136+108x^137+162x^138+60x^139+6x^140+16x^141+10x^144+6x^150+4x^153

The gray image is a linear code over GF(3) with n=180, k=11 and d=102.
This code was found by Heurico 1.16 in 433 seconds.