The generator matrix

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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+588x^155+1230x^156+2142x^157+3702x^158+5412x^159+6120x^160+8616x^161+10854x^162+11124x^163+13350x^164+15046x^165+15300x^166+16608x^167+16620x^168+13104x^169+11490x^170+9706x^171+6264x^172+4278x^173+2604x^174+1242x^175+774x^176+318x^177+108x^178+216x^179+112x^180+72x^182+36x^183+66x^185+24x^186+18x^188+2x^192

The gray image is a code over GF(3) with n=747, k=11 and d=465.
This code was found by Heurico 1.16 in 84.5 seconds.