The generator matrix

 1  0  1  1  1  1  1  1  0  1  1 18  1 21  1  1  1  1  3  1  1  6  1  1 24  1  1  1 24  1  1  0  1  1 21  1  1  1  1  1  1 24  1 12  1  1  1  1  6  1  1 18 21  9  1  1  1  1  1  1  1 12  1  1  1  1  1 12 24 18  1 18  1  1  1  1 21
 0  1  1 26 21 20 16 24  1 26 13  1 17  1 18  4 23 19  1 12 14  1 25 15  1 20  0  1  1 16  2  1  5  6  1  6 13  5  9 19 22  1 21  1 21 10  2 11  1 26 19  1  1  1  7 12 18 26  5 20 14  1  8 22 18  7 22  1  1  1 12  1  9 11  6 10  1
 0  0 24  0 18 18  9  0 15  6  3  3 21 15  3 18  0 18 21 15 12  3 12 21  9  6 24  3  6  6 21 21 15 12  9 15  6  9 18  9  3  0  6 15 21 24  0 21  3 12 12  0  9  6 15 18 15  9  6  6  9 21 21 15  6  9  0  3  6 15  3  9  0 24 12 12  6
 0  0  0  9  9  0 18 18  9  0  9  0 18  0 18  0 18  9 18 18  9  0  0  0 18 18 18  9  0  9  0  9  9  9  9 18 18  9  9 18 18  9  0 18  9 18  9 18  9  0  9 18  0  9  0 18  9 18 18  0  0  0  9  9  0  0  9  9  9 18  0 18  9 18 18  0  0

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

Homogenous weight enumerator: w(x)=1x^0+198x^146+460x^147+840x^148+1134x^149+1430x^150+1842x^151+1482x^152+1496x^153+2058x^154+1974x^155+1464x^156+1668x^157+1020x^158+918x^159+822x^160+414x^161+220x^162+42x^163+42x^164+36x^165+12x^166+24x^167+6x^168+12x^170+20x^171+6x^172+18x^173+20x^174+4x^177

The gray image is a code over GF(3) with n=693, k=9 and d=438.
This code was found by Heurico 1.16 in 1.53 seconds.