The generator matrix

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

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+1154x^138+894x^139+1734x^140+3164x^141+1356x^142+1104x^143+2074x^144+1290x^145+1134x^146+2078x^147+852x^148+882x^149+1058x^150+210x^151+162x^152+422x^153+84x^154+6x^155+2x^156+6x^157+8x^159+6x^160+2x^162

The gray image is a code over GF(3) with n=648, k=9 and d=414.
This code was found by Heurico 1.16 in 0.816 seconds.