The generator matrix

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

generates a code of length 62 over Z27 who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+780x^116+1334x^117+1728x^118+3822x^119+3786x^120+3420x^121+6360x^122+5476x^123+4950x^124+6744x^125+5126x^126+4104x^127+5154x^128+2752x^129+1278x^130+1308x^131+656x^132+72x^133+72x^134+44x^135+42x^137+14x^138+18x^140+6x^141+2x^144

The gray image is a code over GF(3) with n=558, k=10 and d=348.
This code was found by Heurico 1.16 in 7.72 seconds.