The generator matrix

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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+378x^165+588x^166+1818x^167+1782x^168+2082x^169+1992x^170+1392x^171+1524x^172+1566x^173+1322x^174+972x^175+978x^176+794x^177+696x^178+594x^179+522x^180+288x^181+336x^182+40x^183+6x^185+2x^186+6x^187+2x^189+2x^195

The gray image is a code over GF(3) with n=774, k=9 and d=495.
This code was found by Heurico 1.16 in 1.27 seconds.