The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  1  1  1 12  1 24  1 24  6  1  1  1  1  1  3  1  1  1  1  1  9  1 15  1  6  1  1  1  1  0  1  3  1  1 24  1  1  1 21  1 21  1  0  1 24 24  6  1 12  1
 0  1  0  0 18  1 19  1 18  0 26 23 22  7 12 25 17  1  6  1 15 12  1 24 23  5 26  6  3 20  7 10  4 14  1 20  1 11  1 10 19 22 25  1  4  1 12 21  1 13  7 11  1  6  1 21  1 21 24  1  1 25 18 16
 0  0  1  0 16 25 14  7  4 23 12 13 11 15 24 21 14 10 20 17 17  1  2 18 12 25 26 19  1  7 11 10 21 23 20 15  1  3 18  7 24  0 10  5 19  3 19 17  3  4 26 23 21  8  4  1  8  8  1  5  2 13  1 26
 0  0  0  1 14  9  5  5 22 24  1  6 16 13 17 21  2  9 19 17 14  7  1  4  5 26 22  0 11 10  6 26  8 12  6  9 13 25 17  4 21 20  6 11 23 22 26  1 26  1  1  8 12 20 19  9 24  9  3 11 21 14 13 11

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

Homogenous weight enumerator: w(x)=1x^0+926x^117+2850x^118+4776x^119+7786x^120+11088x^121+16926x^122+22482x^123+28674x^124+38298x^125+41974x^126+49986x^127+56454x^128+55404x^129+52590x^130+47250x^131+36230x^132+24720x^133+16560x^134+8690x^135+4614x^136+1890x^137+650x^138+366x^139+60x^140+58x^141+48x^142+24x^143+18x^144+24x^145+6x^146+6x^147+6x^149+6x^153

The gray image is a code over GF(3) with n=576, k=12 and d=351.
This code was found by Heurico 1.16 in 510 seconds.