The generator matrix

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

generates a code of length 79 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+428x^147+1104x^148+1614x^149+4130x^150+5064x^151+5346x^152+9128x^153+11202x^154+9504x^155+16248x^156+15996x^157+12690x^158+18326x^159+16710x^160+11358x^161+14182x^162+9852x^163+4962x^164+4480x^165+2238x^166+1062x^167+696x^168+354x^169+60x^170+96x^171+78x^172+42x^173+48x^174+66x^175+6x^176+32x^177+30x^178+12x^179+2x^180

The gray image is a code over GF(3) with n=711, k=11 and d=441.
This code was found by Heurico 1.16 in 79.9 seconds.