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

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+498x^132+1014x^135+54x^136+1852x^138+324x^139+1944x^140+3626x^141+648x^142+3888x^143+3508x^144+432x^145+688x^147+542x^150+408x^153+160x^156+86x^159+8x^162+2x^198

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 5.2 seconds.