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  X  1  1  1  X  0  1  1  1  1  X  1  X  0  1  0  1  0  1  1  0  1  1
 0  X 2X  0 X+3 2X  6 X+3 2X+6  0 X+3 2X  3 X+6 2X+3 2X X+3  0  3 2X  X 2X+3 2X+6 X+3  0 X+3  6  X  0  6  X  X  X 2X 2X+6  6 2X+6  3 2X+6 2X  3 2X+3  X 2X  X X+3 X+3  3  0 X+3 2X  0  0 2X  X 2X 2X+3  3  3 X+3  X 2X  X X+3  X X+6  X X+3 2X+6  X 2X  0
 0  0  6  0  0  0  0  0  3  0  3  3  0  6  0  6  6  0  0  6  0  3  0  3  3  3  3  6  3  6  6  3  0  3  3  6  0  3  3  6  6  3  3  6  6  3  3  0  0  6  0  3  6  0  0  0  0  0  0  3  6  0  3  3  6  3  6  6  0  0  6  6
 0  0  0  6  0  0  3  0  0  6  3  3  6  6  6  0  3  3  6  6  6  3  0  6  3  0  6  6  0  0  6  6  3  6  3  3  6  0  0  3  0  3  0  6  3  0  0  0  3  3  3  3  0  0  0  3  6  6  3  0  0  3  0  0  0  6  6  6  0  3  3  3
 0  0  0  0  3  0  0  6  0  3  3  6  6  3  3  6  6  0  6  0  3  0  3  6  3  6  6  6  0  6  6  6  0  3  0  6  6  6  6  0  0  0  0  3  3  6  3  0  3  0  0  6  0  0  3  6  0  0  6  3  6  3  6  0  0  0  3  3  3  6  3  0
 0  0  0  0  0  6  0  0  3  3  0  3  6  0  6  3  6  6  3  3  6  0  3  6  3  0  3  3  3  0  6  0  6  0  6  6  6  3  3  3  3  3  3  6  3  6  0  3  6  0  0  0  0  6  0  3  6  3  0  6  6  3  3  6  3  3  6  3  6  3  6  0

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+296x^132+18x^134+602x^135+180x^137+840x^138+1692x^140+1058x^141+5328x^143+1136x^144+5328x^146+984x^147+576x^149+832x^150+468x^153+174x^156+106x^159+28x^162+22x^168+4x^171+8x^177+2x^189

The gray image is a code over GF(3) with n=648, k=9 and d=396.
This code was found by Heurico 1.16 in 31.7 seconds.