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

generates a code of length 44 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+68x^72+192x^75+204x^78+426x^81+956x^84+1698x^87+13122x^88+1650x^90+784x^93+198x^96+168x^99+112x^102+54x^105+34x^108+8x^111+6x^114+2x^117

The gray image is a code over GF(3) with n=396, k=9 and d=216.
This code was found by Heurico 1.16 in 2.07 seconds.