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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+1206x^156+2112x^157+4812x^158+8826x^159+9222x^160+14370x^161+21626x^162+21060x^163+27186x^164+37450x^165+37962x^166+44454x^167+53210x^168+44454x^169+44688x^170+48194x^171+31248x^172+27756x^173+22380x^174+12090x^175+7776x^176+5572x^177+1782x^178+882x^179+448x^180+336x^181+84x^182+38x^183+84x^184+18x^185+54x^186+18x^187+18x^188+12x^189+6x^190+6x^193

The gray image is a code over GF(3) with n=756, k=12 and d=468.
This code was found by Heurico 1.16 in 729 seconds.