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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+18x^164+6x^165+108x^166+72x^167+1686x^168+216x^169+72x^170+6x^171+2x^252

The gray image is a code over GF(3) with n=756, k=7 and d=492.
This code was found by Heurico 1.16 in 0.27 seconds.