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  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  1  1  1  1  1  1  1  1
 0  3  0  9 24 21  3 15 24  9  9 15 18 12 15 21 24 21 18 18  3 12  9 18  6  6  3 21 15  6  0  3 21  0 24  6  0  0 12 24 15 21 12 12  9  9  3 12  6 24 18 18  6 15 21 12  3 12  3 21 18  0 18  0  6 24  6 24 18  0  6 24 21 12  9  9  9  3 15 15 15  0
 0  0  3 15  9  6  3 21 15  0  6 18 21 24 12 12 24  0 24  6  6  9 18  3 24  3 24  9  9  6 12 12 21 18  0 12 21  9 21  6  3 24  6  3  9 24 18 18 21 18 12 15 15  0 15 15 21 12 15  3  0 24  9  6 18 21  9 12 18 15  0  3 18  0  3 12 21  9 24  6 15  0

generates a code of length 82 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+80x^162+1944x^164+160x^165+2x^246

The gray image is a code over GF(3) with n=738, k=7 and d=486.
This code was found by Heurico 1.16 in 0.248 seconds.