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

generates a code of length 40 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+162x^69+588x^72+792x^75+486x^76+4302x^78+1944x^79+7388x^81+1944x^82+1322x^84+536x^87+140x^90+32x^93+20x^96+8x^99+14x^102+2x^105+2x^108

The gray image is a code over GF(3) with n=360, k=9 and d=207.
This code was found by Heurico 1.16 in 2.42 seconds.