The generator matrix

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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+66x^76+2x^78+6x^79+4x^84+2x^87

The gray image is a code over GF(3) with n=342, k=4 and d=228.
This code was found by Heurico 1.16 in 0.0116 seconds.