The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 2X+3  6  1  1  1  1  1  X  1  X  1  1 2X X+6  1  3  1  1  3  1  1  0  1 X+3  1  1  1  1  1 X+6  1  1  1  1  6  1  1 2X+3  1  1  1  1  1  1  1  1 2X+3 2X+6  1  1  1  1 X+6  1  1  X  1  1  X  0  1
 0  1  0  0  6 2X+4  8  1 2X+7 2X+2  5  1  1 X+3 2X+1 X+1 2X+1 X+2  1 X+6  1 X+5  8  1 2X+6 2X+5 X+6 2X+3 X+6  1  0 X+5  1 2X+5  1  X 2X+6  4 2X+7  4  1  1 X+8  1  6  1 X+6  2  X  1 2X+2 2X 2X+8 2X+7  X  8 2X+4  1  1 X+7 2X+6  4 X+2  1 X+5 X+1  1  3 2X+3  0  1 2X
 0  0  1 2X+4  2 2X+2  8  1  0  4 2X+3 2X+4  2 2X X+5  6 2X+7 2X+3 X+6  1 X+2  2 X+7 X+1  1 2X+4  1 X+8 2X+7 2X+8 2X+3 X+5 2X+3  3  7 X+2 X+1 X+8  4 X+3 2X+7 X+4 2X+2 2X X+8 2X  X X+6  1 2X X+4  2 X+7  8  6 X+7 2X+6 X+6  3  X X+5 2X+5 X+3 X+8 2X+4 2X+2 2X+6 X+4 X+3  1 2X+2  8
 0  0  0  3  3  3  3  3  3  3  3  0  0  3  6  6  0  0  3  0  6  6  6  6  6  0  3  0  6  3  6  0  6  6  6  3  3  3  6  6  0  3  6  0  6  3  3  6  6  6  6  0  0  6  0  3  0  0  6  3  6  6  0  3  6  3  3  3  6  0  6  3

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+346x^135+366x^136+1776x^137+2900x^138+2442x^139+4398x^140+5572x^141+3342x^142+5922x^143+6606x^144+3186x^145+5310x^146+5550x^147+2802x^148+3570x^149+2496x^150+852x^151+816x^152+492x^153+108x^154+60x^155+52x^156+12x^157+6x^158+20x^159+12x^161+22x^162+12x^163

The gray image is a code over GF(3) with n=648, k=10 and d=405.
This code was found by Heurico 1.16 in 8.2 seconds.