The generator matrix

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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+166x^159+462x^160+414x^161+1212x^162+1164x^163+624x^164+1626x^165+1800x^166+744x^167+2362x^168+2070x^169+888x^170+2106x^171+1758x^172+558x^173+828x^174+426x^175+120x^176+86x^177+78x^178+48x^179+70x^180+12x^181+6x^182+24x^183+6x^184+10x^186+4x^189+4x^192+2x^195+2x^201+2x^204

The gray image is a code over GF(3) with n=756, k=9 and d=477.
This code was found by Heurico 1.16 in 1.72 seconds.