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

generates a code of length 77 over Z27 who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+192x^146+142x^147+348x^149+150x^150+648x^152+54x^153+2916x^154+1362x^155+270x^156+150x^158+48x^159+2x^162+66x^164+150x^167+54x^168+6x^171+2x^228

The gray image is a code over GF(3) with n=693, k=8 and d=438.
This code was found by Heurico 1.16 in 83.6 seconds.