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

generates a code of length 38 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+54x^75+162x^76+12x^78+6x^81+6x^84+2x^90

The gray image is a code over GF(3) with n=342, k=5 and d=225.
This code was found by Heurico 1.16 in 0.0142 seconds.