The generator matrix

 1  0  1  1  1  1  1  3 24  1  1  1  1  3  1  1  1  1  1  0 21  1  1  1  1  1 18  1  0  1  1  1  1  1  1 21  1  1  1  3  1 21  1  1  1  6  1  1  1  1  1  6  1 24  1  1  6  1  1  1  1  6  3  1
 0  1  1 26 18 25 26  1  1 26 16 21  4  1 18 20 12  5 16  1  1 24  7 23 18 23  1  1  1  3 12  2 20 11 10  1 12 19 22  1  7  1  6 16  1  1  1  9 26 23  2  1  9  1 23 16  1 17 12 12 22  1  1 13
 0  0 24  0 18  0  0  9  0 18 18  9  9 12 21  6 24 12 24 21 15 15  6  3 12 24 12 21 15  6  3  6  3 18 24 15  6 21 21  0 24 12 21  9  9  9  3  6 24  6 21 21 12  3 12 18 18 24 12 18  6  6  3  0
 0  0  0  3 21 12  9  3 15  6 24  6 18 15 24 24  3 24  6  3  9 18  3 12  3  9 18 15 12  6  0 12  9  0  6 24 18 12  9 18 12  3 18  9  3 24  3 21  9 21  3 21  6 24  6 12  3 15 15 21 24 21  6  6

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

Homogenous weight enumerator: w(x)=1x^0+216x^118+426x^119+704x^120+1302x^121+1752x^122+2564x^123+3654x^124+3660x^125+5076x^126+6666x^127+5388x^128+6510x^129+6900x^130+4818x^131+4022x^132+2496x^133+1044x^134+704x^135+378x^136+198x^137+66x^138+156x^139+126x^140+20x^141+78x^142+66x^143+6x^144+12x^145+18x^146+10x^147+12x^148

The gray image is a code over GF(3) with n=576, k=10 and d=354.
This code was found by Heurico 1.16 in 9.37 seconds.