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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+54x^88+20x^90+2x^93+2x^96+2x^99

The gray image is a code over GF(3) with n=396, k=4 and d=264.
This code was found by Heurico 1.16 in 0.0199 seconds.