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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+1410x^160+2682x^161+4928x^162+7590x^163+10476x^164+14576x^165+20334x^166+22254x^167+28416x^168+37074x^169+38916x^170+42872x^171+51396x^172+45684x^173+43950x^174+43464x^175+34332x^176+28068x^177+21618x^178+13230x^179+8338x^180+5394x^181+2172x^182+1006x^183+666x^184+240x^185+84x^186+54x^187+72x^188+42x^189+42x^190+42x^191+6x^192+12x^193

The gray image is a code over GF(3) with n=774, k=12 and d=480.
This code was found by Heurico 1.16 in 779 seconds.