The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+366x^155+232x^156+594x^157+762x^158+854x^159+1566x^160+1272x^161+1086x^162+2376x^163+1122x^164+1590x^165+2808x^166+1284x^167+1056x^168+1350x^169+630x^170+186x^171+54x^172+270x^173+42x^174+96x^176+32x^177+24x^179+10x^180+6x^182+6x^183+2x^186+2x^189+2x^198+2x^201

The gray image is a code over GF(3) with n=738, k=9 and d=465.
This code was found by Heurico 1.16 in 1.66 seconds.