The generator matrix

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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+726x^118+1710x^119+2086x^120+4242x^121+6708x^122+6548x^123+9438x^124+13992x^125+12528x^126+18162x^127+19290x^128+16492x^129+19008x^130+16776x^131+10280x^132+7944x^133+5892x^134+2252x^135+1410x^136+1044x^137+88x^138+168x^139+150x^140+20x^141+114x^142+42x^143+6x^144+24x^145+6x^146

The gray image is a code over GF(3) with n=576, k=11 and d=354.
This code was found by Heurico 1.16 in 124 seconds.