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  X  1  1  1  1  1  1  1  1  1  1  1  X  X
 0  6  0  0  0  0  6  3  3  0  0  6  6  6  6  6  6  6  0  3  0  3  0  3  0  6  3  6  3  6  6  3  3  0  3  3  3  6  6
 0  0  6  0  0  6  3  0  3  0  6  6  3  3  0  6  0  6  6  6  6  0  0  3  3  0  6  3  3  0  3  0  6  6  3  0  6  3  0
 0  0  0  6  0  3  3  6  0  6  6  0  0  6  3  6  6  3  3  0  0  3  3  3  3  6  0  6  0  3  0  3  6  6  3  6  6  6  6
 0  0  0  0  6  3  3  3  3  3  0  3  0  0  3  3  0  6  0  0  3  3  6  3  6  6  6  3  6  6  6  0  0  3  0  0  3  0  6

generates a code of length 39 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+172x^72+108x^75+1566x^78+306x^81+24x^90+8x^99+2x^108

The gray image is a code over GF(3) with n=351, k=7 and d=216.
This code was found by Heurico 1.16 in 0.176 seconds.