The generator matrix

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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+128x^162+102x^163+1710x^164+238x^165+240x^166+1326x^167+238x^168+126x^169+702x^170+102x^171+132x^172+1170x^173+150x^174+48x^175+114x^176+24x^177+4x^180+2x^195+2x^198+2x^201

The gray image is a code over GF(3) with n=756, k=8 and d=486.
This code was found by Heurico 1.16 in 0.399 seconds.