The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  X  1  1  1  1  0  1  1  1  1  0  1  X  1  1  1  0  1  X  1  1  1  1  1  0  1  1  1  1  1 2X  1  1  1  1  1  1  1  1  1  X  1  X  1
 0  1  1  2  0  1  2  1  0 2X+1  2  1  0 X+1  2  1  1 2X+1  2  0 X+2  1  2 2X+1  0 X+1  1 2X+2  1 2X+1  2  X  1 X+2  1 2X+1 2X 2X 2X+2  X  1 X+1 X+2 2X 2X+1  0  1 X+1  0  X 2X+1 2X+1  2 2X X+2  X  1  0  0  0
 0  0 2X  0  0  0  0  0  0  0  0  0  0  X  X 2X 2X  X 2X 2X  X 2X  0  X  X 2X  X  0  0  0  X 2X  X  0 2X  0 2X  X  0 2X  X 2X  X  X  0  X  X  X 2X  X  0 2X  X  X  X  X 2X  0  X  0
 0  0  0  X  0  0  0  0  0  0  0 2X  0  0 2X  X 2X  0 2X 2X 2X  X 2X  0 2X  0  X 2X  X  X  0 2X  X 2X  0 2X  X  0  0  X  X  X  0  X  X  X 2X  0 2X 2X  X 2X 2X  X  X 2X  X 2X  X  X
 0  0  0  0  X  0  0  0  X 2X 2X  0  X 2X  X  0  0  X 2X 2X  0  0 2X  0  X 2X 2X  X 2X  X  0  X  X 2X  0  0  0 2X 2X  0  X 2X  0 2X 2X  0  X  0  X 2X  X 2X  0  X  X  0  X  X  0  X
 0  0  0  0  0 2X  0  X 2X 2X 2X 2X  0  X 2X  0  X 2X  X 2X  X  X  0  0  X  X  X  0  X  X  0  0  X  X 2X 2X  0 2X  0 2X  X  X 2X 2X  X 2X  X  0  X  0  0 2X  0 2X  X  X 2X 2X 2X  0
 0  0  0  0  0  0  X 2X 2X 2X  0 2X 2X 2X  0  X 2X  X  0  0  0  X 2X  X 2X  X  0 2X  0  0 2X  X  X  0 2X  X  X 2X 2X  0  0  X  X  X 2X 2X  0  0  X  X  X  X  X  X  X  X  X  X  0  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+48x^102+18x^103+6x^104+190x^105+102x^106+72x^107+478x^108+204x^109+186x^110+832x^111+342x^112+408x^113+1070x^114+564x^115+738x^116+1688x^117+678x^118+816x^119+2118x^120+906x^121+948x^122+2008x^123+762x^124+792x^125+1180x^126+462x^127+294x^128+712x^129+240x^130+96x^131+346x^132+84x^133+18x^134+112x^135+6x^136+60x^138+6x^139+54x^141+22x^144+10x^147+4x^150+2x^153

The gray image is a linear code over GF(3) with n=180, k=9 and d=102.
This code was found by Heurico 1.16 in 6.23 seconds.