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

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

Homogenous weight enumerator: w(x)=1x^0+222x^36+40x^39+90x^42+5832x^44+72x^45+120x^48+72x^51+110x^54+2x^66

The gray image is a code over GF(3) with n=198, k=8 and d=108.
This code was found by Heurico 1.16 in 1.57 seconds.