The generator matrix

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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+540x^118+1614x^119+1430x^120+1704x^121+2730x^122+1602x^123+1626x^124+2256x^125+1248x^126+1206x^127+1302x^128+554x^129+696x^130+816x^131+258x^132+54x^133+18x^134+8x^135+6x^136+6x^137+2x^138+6x^140

The gray image is a code over GF(3) with n=558, k=9 and d=354.
This code was found by Heurico 1.16 in 0.848 seconds.