The generator matrix

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

generates a code of length 69 over Z3[X]/(X^3) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+1074x^132+912x^133+1638x^134+2692x^135+1584x^136+1710x^137+2220x^138+1272x^139+1194x^140+1816x^141+786x^142+624x^143+1018x^144+462x^145+336x^146+312x^147+6x^149+8x^150+6x^151+6x^153+6x^156

The gray image is a linear code over GF(3) with n=621, k=9 and d=396.
This code was found by Heurico 1.16 in 1.04 seconds.