The generator matrix

 1  0  1  1  1  1  1  1 18  1  1 21 21  1  1  1  1  1  6  1  1  1  1  3  1  1 24  1  1  1  0  1  1  6  1  1 18  1  1  1  1  1  1  1  1  1  1  1  6 24 12  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0 21 18  1  3  1  1  1  1  1 18  1
 0  1  1 26 18 17  0 25  1 20  4  1  1 23 21 11 24  4  1  3 17 20 22  1 16  1  1 24 16  3  1 10  6  1 23 10  1 26 14  1 13 14  6  6 12 11 17  3  1  1  1  1 20  7 26 11 22 13  9 18 25 25 17  6 20  1  1  1 18  1 22 24 23 22  0  1  2
 0  0 24  9 21 12  6  3  3 18  0  6  0 18  0 15 15  6 24  3 21 24 12 21  6  9 18 18  9  6 24 12 21  3  6 15 18  6 21  0  3  9  3 24 18 12 24 24  6 21  3  6  9 24 15  0 15  9  0 24  0 18 18  6  6 21 24 12  9 15 24 12  3 21 12  0  3

generates a code of length 77 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+444x^149+870x^150+426x^151+1002x^152+984x^153+234x^154+408x^155+532x^156+198x^157+474x^158+498x^159+114x^160+252x^161+96x^162+6x^164+2x^165+6x^170+2x^171+12x^174

The gray image is a code over GF(3) with n=693, k=8 and d=447.
This code was found by Heurico 1.16 in 6.07 seconds.