The generator matrix

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

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+304x^132+72x^133+666x^134+1064x^135+180x^136+558x^137+1404x^138+108x^139+216x^140+1104x^141+90x^142+414x^143+218x^144+36x^145+90x^146+18x^147+12x^150+4x^171+2x^186

The gray image is a linear code over GF(3) with n=621, k=8 and d=396.
This code was found by Heurico 1.16 in 0.244 seconds.