The generator matrix

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

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+50x^120+6x^122+180x^123+6x^124+48x^125+414x^126+60x^127+78x^128+794x^129+276x^130+408x^131+1200x^132+570x^133+630x^134+2086x^135+1032x^136+1362x^137+3498x^138+1782x^139+1938x^140+5162x^141+2172x^142+2346x^143+5604x^144+2544x^145+2376x^146+5360x^147+2232x^148+1986x^149+3924x^150+1410x^151+1146x^152+2394x^153+738x^154+552x^155+1010x^156+246x^157+198x^158+496x^159+54x^160+42x^161+272x^162+6x^164+178x^165+98x^168+52x^171+18x^174+10x^177+4x^180

The gray image is a linear code over GF(3) with n=216, k=10 and d=120.
This code was found by Heurico 1.16 in 64.2 seconds.