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

generates a code of length 65 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+86x^117+162x^119+194x^120+510x^122+304x^123+1020x^125+828x^126+3492x^128+2202x^129+5586x^131+2268x^132+1662x^134+282x^135+498x^137+182x^138+108x^140+58x^141+72x^143+78x^144+6x^146+22x^147+6x^149+30x^150+8x^153+8x^156+4x^159+4x^162+2x^174

The gray image is a code over GF(3) with n=585, k=9 and d=351.
This code was found by Heurico 1.16 in 2.4 seconds.