The generator matrix

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

generates a code of length 22 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+24x^36+58x^39+222x^42+1458x^44+350x^45+22x^48+24x^51+10x^54+10x^57+6x^60+2x^63

The gray image is a code over GF(3) with n=198, k=7 and d=108.
This code was found by Heurico 1.16 in 0.0129 seconds.