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 18 12  1  1  1 12  0  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 10  7 13  7 25 11 26  8 23  8  5 17 13  2 18  1  1  6  3 13  1  1  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  0  0  9  9 18  9  9 18 18 18  9  0  0 18  0  9 18 18  0 18  0 18  9
 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  9  0  0 18  0  9  0 18  0  9 18  0  9 18 18  0  9  9 18  0 18  0 18

generates a code of length 81 over Z27 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+282x^156+180x^157+882x^158+752x^159+450x^160+774x^161+798x^162+144x^163+198x^164+700x^165+288x^166+666x^167+284x^168+72x^169+72x^170+8x^171+2x^174+2x^177+4x^189+2x^198

The gray image is a code over GF(3) with n=729, k=8 and d=468.
This code was found by Heurico 1.16 in 0.363 seconds.