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

generates a code of length 40 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+108x^77+198x^78+350x^81+12x^84+54x^86+6x^93

The gray image is a code over GF(3) with n=360, k=6 and d=231.
This code was found by Heurico 1.16 in 0.0478 seconds.