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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+80x^162+1944x^166+160x^168+2x^249

The gray image is a code over GF(3) with n=747, k=7 and d=486.
This code was found by Heurico 1.16 in 0.259 seconds.