The generator matrix

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

generates a code of length 61 over Z27 who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+336x^116+324x^117+306x^118+702x^119+876x^120+234x^121+828x^122+876x^123+270x^124+762x^125+570x^126+126x^127+264x^128+8x^129+36x^130+18x^131+10x^132+6x^137+4x^138+2x^144+2x^159

The gray image is a code over GF(3) with n=549, k=8 and d=348.
This code was found by Heurico 1.16 in 0.51 seconds.