The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X 2X  0 2X^2+X 2X 2X^2+X X^2+2X  0 X^2 2X^2+X 2X  0 X^2+X X^2+2X X^2 X^2+X 2X X^2 2X^2+X X^2 2X^2+2X X^2+X X^2+2X 2X^2 X^2+X X^2+2X  0  0 X^2 X^2 2X^2+X 2X^2+X X^2+X X^2+X 2X X^2+2X 2X 2X^2+2X  0 2X^2+X X^2+2X 2X^2  X 2X 2X^2 X^2+2X X^2+X  0 2X^2+X 2X X^2  X 2X^2+2X 2X^2  X 2X^2+2X X^2  X X^2+2X X^2+X  0 X^2 2X^2+2X 2X^2+X 2X^2 X^2+X 2X^2+2X  0
 0  0 X^2  0 X^2  0 2X^2 2X^2 X^2 2X^2 2X^2  0 X^2  0 X^2 X^2  0 X^2 2X^2 X^2  0 2X^2 X^2  0 2X^2 2X^2 2X^2  0 X^2 X^2  0 2X^2 X^2 X^2 2X^2 2X^2  0 2X^2  0 2X^2  0 X^2  0 2X^2  0 2X^2 X^2 X^2 2X^2  0 X^2 X^2  0 2X^2  0 2X^2  0 2X^2 2X^2  0 2X^2 2X^2  0  0  0 2X^2  0 X^2 X^2
 0  0  0 X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2  0 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 X^2  0  0  0  0  0 2X^2 X^2  0  0  0  0 X^2 2X^2 X^2 2X^2 2X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2  0  0  0 2X^2  0 2X^2 X^2 X^2 X^2 X^2  0 X^2 2X^2  0 2X^2 2X^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+20x^132+12x^133+24x^134+60x^135+78x^136+84x^137+1718x^138+36x^139+36x^140+34x^141+24x^142+12x^143+18x^144+12x^145+6x^146+10x^147+2x^207

The gray image is a linear code over GF(3) with n=621, k=7 and d=396.
This code was found by Heurico 1.16 in 0.178 seconds.