The generator matrix

 1  0  1  1  1  1  1  1 18  1  1 21 21  1  1  1  1  1  6  1  1  1  1  1  3  1  1  1 15  6  1 18  1  1 15  1  1  1  1  1  1  1  1  1  1 15  1 12 21  1  1  1  1  1  3  1  1  1  1  1  1  6  1  1  1  1  1  1  1  1  1  1  0  1 24  1  1  3 12  1  1  1  1
 0  1  1 26 18 17  0 25  1  4 20  1  1 23 21 11 24  4  1  3 17 20 22 22  1  6 16  6  1  1 21  1 19 16  1  1 11 14 15 14 18 25 26  6 25  1 17  1  1  3  9 14 19 19  1  1  4 20 23 21 23  1  6 18  8 17  5 14  2  1 13 16  1 26  1 26  3 21  1  2 15 18 20
 0  0 24  9 21 12  6  3  3  0 18  6  0 18  0 15 15  6 24  3 21 24 12 18 21  9  6 21  3  9 15  6  3 18 21  0 12 21  6 15  9 12 24  3 24 18  0 12 24 18  3 24 18  9  3 21  9  0  3 21  9 12 18 12 12 15  0 12  9 12  3  0 24 18  6 21  9  3 15  3  0 15  6

generates a code of length 83 over Z27 who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+648x^161+710x^162+426x^163+1194x^164+634x^165+240x^166+546x^167+394x^168+204x^169+726x^170+302x^171+96x^172+246x^173+132x^174+36x^176+6x^181+6x^182+6x^183+2x^186+4x^189+2x^192

The gray image is a code over GF(3) with n=747, k=8 and d=483.
This code was found by Heurico 1.16 in 0.377 seconds.