The generator matrix

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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+510x^118+1284x^119+2420x^120+2772x^121+4698x^122+4552x^123+4722x^124+5952x^125+5638x^126+5010x^127+6066x^128+4980x^129+3192x^130+3258x^131+1838x^132+1164x^133+540x^134+238x^135+90x^136+30x^137+16x^138+12x^139+18x^140+18x^142+24x^143+6x^145

The gray image is a code over GF(3) with n=567, k=10 and d=354.
This code was found by Heurico 1.16 in 8.68 seconds.