The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1  1  1  1  1
 0  9 18  0  9 18  0  9 18  0  9 18  9  0 18  9 18  0  9 18  0  9

generates a code of length 22 over Z27 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+12x^43+54x^44+4x^45+6x^46+2x^48+2x^60

The gray image is a code over GF(3) with n=198, k=4 and d=129.
This code was found by Heurico 1.16 in 0.00171 seconds.