The generator matrix

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

generates a code of length 81 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+418x^153+900x^154+1566x^155+3190x^156+3270x^157+3210x^158+5154x^159+4938x^160+5076x^161+5470x^162+4332x^163+4158x^164+4998x^165+3522x^166+2550x^167+2494x^168+1698x^169+846x^170+754x^171+270x^172+72x^173+48x^174+12x^175+18x^176+44x^177+6x^178+14x^180+14x^183+6x^190

The gray image is a code over GF(3) with n=729, k=10 and d=459.
This code was found by Heurico 1.16 in 9.5 seconds.