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  1  0 24 18  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1 15  1  1  1  1 18
 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 25  1  1  1 11  5  7 12  0  7 12 12 18  8 19 21 14  1 17 14  1  7 15 15 26  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 18 12 24  0 12  6  3  6  9 21 12 24 18  0  9 21 18  9  3 15 18  6  0 12 18  6

generates a code of length 81 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+462x^157+1032x^158+358x^159+834x^160+840x^161+228x^162+684x^163+564x^164+234x^165+372x^166+462x^167+62x^168+222x^169+168x^170+6x^173+12x^175+6x^178+2x^180+6x^182+6x^183

The gray image is a code over GF(3) with n=729, k=8 and d=471.
This code was found by Heurico 1.16 in 0.356 seconds.