The generator matrix

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

generates a code of length 20 over Z9[X]/(X^2+6,3X) who�s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+12x^39+54x^40+6x^42+8x^45

The gray image is a code over GF(3) with n=180, k=4 and d=117.
This code was found by Heurico 1.16 in 0.0013 seconds.