The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3  1 24  1  1  1 12 18  0  1  1  1  1  1 12  1  1 24  1 21  9  1  1  1  1 18  1 12  1  1  1  3  6  1 24  1 15  1  1  9  1  1  1  1  1 21  1  1  1  1  1 21  1  6  0  6  1  1  9  1  1  1  1 15  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1 16  1 11 24 17  1  1 15 20  3 15  2 10  1 17  3  1  4  1  1  9 23  8  2  1 19 18 16  6 22  3  1 15  1  5  3 18  7 21 10 25 17 23  0  1  8 14  4 18 24  1  0  1  1  1  7 13  1 11 21  3  7  1  4
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 14 13 10 26 11 14 12  1 12 25  0 15 24 17 13  4 12  2 25  2 14 12  7  8 15 19  1 17 25 22  1 19  6 14  2  1 20 15  1  2 11 18  7 19  6 10  9 15  8  1 21 24 26 26 25 10 19  1 17 18 21 12 14  9

generates a code of length 82 over Z27 who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+1170x^158+1776x^159+1278x^160+2406x^161+2358x^162+702x^163+1926x^164+1322x^165+918x^166+1542x^167+1344x^168+450x^169+942x^170+638x^171+216x^172+432x^173+250x^174+6x^176+6x^180

The gray image is a code over GF(3) with n=738, k=9 and d=474.
This code was found by Heurico 1.16 in 3.69 seconds.