The generator matrix

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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+246x^155+716x^156+2478x^157+2712x^158+2804x^159+4602x^160+4578x^161+3700x^162+5856x^163+5718x^164+3868x^165+5298x^166+4272x^167+2462x^168+3576x^169+2274x^170+1428x^171+1266x^172+564x^173+254x^174+210x^175+18x^176+60x^177+24x^178+24x^179+10x^180+6x^181+6x^182+4x^183+6x^184+2x^186+6x^187

The gray image is a code over GF(3) with n=738, k=10 and d=465.
This code was found by Heurico 1.16 in 9.65 seconds.