The generator matrix

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

generates a code of length 73 over Z3[X]/(X^3) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+42x^132+156x^134+240x^135+108x^136+702x^137+1068x^138+972x^139+1452x^140+3042x^141+2808x^142+3696x^143+5848x^144+5400x^145+5214x^146+7640x^147+5670x^148+3948x^149+4644x^150+2376x^151+1800x^152+1294x^153+162x^154+348x^155+114x^156+162x^158+36x^159+18x^161+30x^162+18x^165+8x^168+12x^171+10x^174+2x^177+6x^183+2x^186

The gray image is a linear code over GF(3) with n=657, k=10 and d=396.
This code was found by Heurico 1.16 in 11.4 seconds.