The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  3  1  3  0  1  1  1  3  1  1  1
 0  3 24  0 21 24  0 21 24  9 21 21 24 24  3 21  0  0 21 21 18  3
 0  0  9  0  0  0  0 18  9  0  9  9  9 18  0  0 18  0  9 18  9  9
 0  0  0  9  0  0  0  0  0  9  9 18 18  9  9 18  0 18 18  0 18  9
 0  0  0  0 18  0  9 18  9  9  0  0 18 18  0 18 18  9  9  9  0  0
 0  0  0  0  0  9  9  0 18  9 18  9  0 18  9 18  0  0 18  9  0 18

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

Homogenous weight enumerator: w(x)=1x^0+444x^36+540x^39+486x^40+4662x^42+1944x^43+8160x^45+1944x^46+1188x^48+144x^51+170x^54

The gray image is a code over GF(3) with n=198, k=9 and d=108.
This code was found by Heurico 1.16 in 92.4 seconds.