The generator matrix

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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+546x^163+900x^164+462x^165+702x^166+864x^167+388x^168+540x^169+612x^170+272x^171+342x^172+384x^173+80x^174+270x^175+144x^176+24x^178+6x^179+6x^183+6x^184+6x^185+2x^192+2x^195+2x^201

The gray image is a code over GF(3) with n=756, k=8 and d=489.
This code was found by Heurico 1.16 in 0.639 seconds.