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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+172x^72+108x^75+1566x^78+306x^81+24x^90+8x^99+2x^108

The gray image is a code over GF(3) with n=351, k=7 and d=216.
This code was found by Heurico 1.16 in 0.175 seconds.