The generator matrix

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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+432x^149+910x^150+2172x^151+3810x^152+4562x^153+7428x^154+8874x^155+8730x^156+12330x^157+14298x^158+13176x^159+16956x^160+17526x^161+13904x^162+15768x^163+12576x^164+7982x^165+6564x^166+4164x^167+2108x^168+1206x^169+804x^170+290x^171+204x^172+96x^173+58x^174+36x^175+78x^176+24x^177+24x^178+36x^179+8x^180+6x^183+6x^184

The gray image is a code over GF(3) with n=720, k=11 and d=447.
This code was found by Heurico 1.16 in 81 seconds.