The generator matrix

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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+192x^117+114x^118+396x^119+824x^120+1692x^121+1326x^122+2188x^123+4602x^124+3690x^125+3478x^126+7260x^127+6042x^128+4458x^129+8544x^130+4842x^131+3064x^132+3732x^133+1020x^134+696x^135+180x^136+108x^137+188x^138+78x^139+54x^140+130x^141+36x^142+6x^143+66x^144+6x^145+6x^146+18x^147+6x^149+2x^153+2x^156+2x^162

The gray image is a code over GF(3) with n=576, k=10 and d=351.
This code was found by Heurico 1.16 in 9.42 seconds.