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

generates a code of length 73 over Z27 who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+180x^145+18x^148+16x^150+8x^153+18x^154+2x^159

The gray image is a code over GF(3) with n=657, k=5 and d=435.
This code was found by Heurico 1.16 in 0.647 seconds.