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  X  1  1  X  1  1  1  1  1  1  X  1  1  X  1  X  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  X 2X 2X  X  X  X  0 2X  X 2X  X  0  X  0 2X  X  0 2X  X 2X 2X 2X  X  X  0  X 2X 2X  0  0  0  X 2X  X  X  X  0 2X  X 2X  X  0  X 2X  0  0 2X 2X 2X  0  X  0  X  0  X 2X  0 2X 2X  X 2X  0
 0  0  X  0  0  0  0  X 2X 2X 2X  0  0 2X  X 2X  X  0  X  X  0 2X 2X  0  X  X 2X  0  X  0 2X 2X 2X  X  0 2X 2X 2X  X  X 2X 2X 2X 2X  0 2X  0 2X  0  X  X  0  0  0  X  X  X 2X  X  X  0  0  X  X 2X 2X  0  0  X  0  0 2X
 0  0  0  X  0  0  X 2X  0 2X  0  0 2X  X  X 2X  0  X  0 2X  0 2X 2X  0 2X  0  X 2X 2X  X  X  X 2X  0 2X  0 2X  X  0 2X  X 2X 2X  X  X  X  X 2X  0  0  0  X  0  0  X 2X  X 2X  0  X 2X  0 2X  X  0  X  X  0  0 2X 2X 2X
 0  0  0  0  X  0 2X 2X  X  0 2X 2X 2X  0 2X 2X  0 2X  X  0 2X 2X  0  X 2X  0 2X  X  0  X  0  X  0 2X 2X  0  0 2X 2X  X  0  X 2X  X  0 2X 2X 2X  X  X  X  0  X  0 2X 2X  X  X 2X  0  0  0  X  X  0  X  0  0  0  X  X  0
 0  0  0  0  0  X 2X 2X 2X 2X 2X 2X  X 2X  X  X 2X  X 2X 2X 2X 2X  0 2X  0  X  0  0 2X  X 2X  0 2X  X  X  0  X  0  0  X  0  X 2X  X 2X  X  X  0  X  X  X  X 2X 2X 2X  X  0 2X  0  0  X  X 2X 2X  0  X  0  0 2X  0  0  X

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+100x^132+106x^135+54x^137+102x^138+270x^140+88x^141+486x^143+74x^144+432x^146+64x^147+216x^149+36x^150+24x^153+36x^156+26x^159+22x^162+6x^165+20x^168+16x^171+6x^174+2x^201

The gray image is a linear code over GF(3) with n=216, k=7 and d=132.
This code was found by Heurico 1.16 in 0.246 seconds.