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
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  0  9  9
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0  0  9 18  0  9 18  9

generates a code of length 22 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+12x^42+216x^44+8x^45+4x^48+2x^66

The gray image is a code over GF(3) with n=198, k=5 and d=126.
This code was found by Heurico 1.16 in 0.00187 seconds.