The generator matrix

 1  0  1  1  1  1  1 X+3  1  1 2X  1  1  1  0  1 X+3  1  1 2X  1  1  1  1  1  0  1  1  1  1  1  1 2X  1  1  1  1 X+3  1  1 X+6  1  1  1  1 2X+6  1  1 X+3  1  1  1  1 X+6 2X 2X+6  1  1  1 X+3  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X+8 2X  1  4 2X+4  8  1  4  1 X+2  0  1 X+3 2X+8 2X X+1  0  1 X+3  8 X+2 2X+8  4 2X  1 X+1  0 X+5 2X  1  8 2X+4  1 2X+4 2X+8 X+3  4  1 X+6 X+7  1  7 2X+5 X+2 X+5  1  1  1  6 2X+6 X+1  1 X+7 X+4 X+7  1  7  7  5  3  3  2 2X+8  3
 0  0  3  0  0  0  3  3  6  6  3  3  6  6  6  0  6  3  3  0  0  0  0  6  3  3  6  3  0  3  0  3  6  0  3  0  3  6  0  3  3  3  0  6  0  3  6  3  0  6  6  6  6  3  3  0  6  6  6  0  0  3  3  6  0  6  0  0  6  3  0  6
 0  0  0  6  0  6  3  6  6  3  0  6  3  6  0  0  3  3  3  6  6  6  3  6  3  3  0  0  0  0  3  0  0  3  6  0  6  6  3  6  3  6  3  3  0  6  0  3  0  6  6  0  0  0  6  6  0  3  6  0  3  3  6  3  6  3  6  3  0  0  6  6
 0  0  0  0  3  3  6  0  6  3  3  6  6  3  6  6  0  0  6  6  3  6  0  6  0  3  3  3  0  6  0  0  0  3  0  3  6  0  6  3  0  0  3  6  3  3  6  0  6  0  3  3  0  6  6  0  3  0  3  3  6  6  6  0  0  6  6  3  0  0  3  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+110x^135+150x^136+714x^137+1068x^138+444x^139+1440x^140+1564x^141+852x^142+1860x^143+2760x^144+1128x^145+2322x^146+2250x^147+666x^148+1248x^149+586x^150+120x^151+138x^152+82x^153+18x^154+42x^155+64x^156+24x^157+12x^158+2x^159+6x^162+6x^168+2x^171+2x^174+2x^177

The gray image is a code over GF(3) with n=648, k=9 and d=405.
This code was found by Heurico 1.16 in 1.36 seconds.