The generator matrix

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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+808x^117+684x^118+432x^119+1758x^120+1602x^121+936x^122+2676x^123+2484x^124+864x^125+2610x^126+2070x^127+540x^128+1230x^129+450x^130+144x^131+216x^132+104x^135+30x^138+24x^141+14x^144+6x^147

The gray image is a code over GF(3) with n=558, k=9 and d=351.
This code was found by Heurico 1.16 in 14.1 seconds.