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

generates a code of length 71 over Z3[X]/(X^3) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+480x^132+18x^133+1104x^135+144x^136+162x^137+1752x^138+1062x^139+1458x^140+2772x^141+1764x^142+2430x^143+2774x^144+1368x^145+324x^146+924x^147+18x^148+456x^150+392x^153+204x^156+36x^159+38x^162+2x^189

The gray image is a linear code over GF(3) with n=639, k=9 and d=396.
This code was found by Heurico 1.16 in 3.38 seconds.