The generator matrix

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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+348x^116+422x^117+882x^118+1470x^119+1474x^120+3024x^121+2910x^122+3200x^123+7164x^124+4620x^125+4790x^126+9000x^127+4968x^128+4020x^129+5292x^130+2280x^131+1052x^132+828x^133+534x^134+160x^135+54x^136+252x^137+138x^138+102x^140+28x^141+6x^143+18x^144+6x^146+2x^147+2x^150+2x^159

The gray image is a code over GF(3) with n=567, k=10 and d=348.
This code was found by Heurico 1.16 in 49.7 seconds.