The generator matrix

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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+538x^159+666x^160+756x^161+844x^162+732x^163+504x^164+360x^165+444x^166+288x^167+474x^168+324x^169+234x^170+270x^171+96x^172+6x^174+2x^177+4x^180+6x^183+6x^184+6x^186

The gray image is a code over GF(3) with n=738, k=8 and d=477.
This code was found by Heurico 1.16 in 0.365 seconds.