The generator matrix

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

generates a code of length 85 over Z27 who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+386x^165+1056x^166+648x^167+806x^168+864x^169+338x^171+864x^172+470x^174+528x^175+324x^176+174x^177+90x^178+4x^180+2x^183+4x^204+2x^207

The gray image is a code over GF(3) with n=765, k=8 and d=495.
This code was found by Heurico 1.16 in 0.761 seconds.