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

generates a code of length 38 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+222x^72+216x^75+1458x^76+216x^78+36x^81+36x^90+2x^108

The gray image is a code over GF(3) with n=342, k=7 and d=216.
This code was found by Heurico 1.16 in 29.2 seconds.