The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3 18  1  1  1  3  1  1  1  1  1  3  3  1  0  3  1  0  1  3  1  3  3
 0  3  0  0 24 21  3 15 24  9 18 21 21 24  6 18 24 21 24 18  3 15  0 18 12 12 24  3 18  6 21  6  6 18  0  3  6  0 12  9  0 12  6 21  3 15 12  6 24 12 15 12  9  9 15  0 21 18 12 21 15  6  0 21  3 15 15 15 21 24  6  0 12 12 18  3 12 18 15 24  3 21 21  3 15  3
 0  0  3 24  9  6  3 21 15 15  0 15  3 18 12 12 24  9  9  9  0 12  6  3 12 15 24 12  0 12  0  9 21 24 24 15 15  3 12  0 21  9  9 24 24 15  3 15 18  3 24  0 15  3 12  9 18 21  0 24  9 18 15  0 21 24 21 18 15  3  3 15 24 24 24 21  6  3 21 21  6 21  9 21  0 12
 0  0  0  9  0  0  0  0  0  0 18 18  9  9 18  9 18  9 18  9 18  9 18 18 18  9  9 18  9  9  9  9  0 18  0  9  9 18  0  0  0  0  0 18  0  0  0 18 18  9  9  9  9  0 18 18 18 18 18  0 18  9  0  9 18  0 18 18  0  9 18  9  9  0  0  0  0  9  0  9  9 18  0  9 18  0

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

Homogenous weight enumerator: w(x)=1x^0+422x^165+126x^166+858x^168+738x^169+874x^171+1134x^172+844x^174+846x^175+288x^177+72x^178+144x^180+76x^183+60x^186+50x^189+26x^192+2x^225

The gray image is a code over GF(3) with n=774, k=8 and d=495.
This code was found by Heurico 1.16 in 5.51 seconds.