The generator matrix

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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+1032x^154+2274x^155+4270x^156+8820x^157+9858x^158+14448x^159+20304x^160+21102x^161+28398x^162+37422x^163+36498x^164+45396x^165+52650x^166+45000x^167+46754x^168+46926x^169+32520x^170+27170x^171+22218x^172+11736x^173+7770x^174+4902x^175+2010x^176+874x^177+534x^178+246x^179+90x^180+60x^181+72x^182+14x^183+12x^184+30x^185+18x^186+6x^187+6x^188

The gray image is a code over GF(3) with n=747, k=12 and d=462.
This code was found by Heurico 1.16 in 704 seconds.