The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1  3  0  1  1  3  1  1  1
 0  3  0  0 24 21  3 15 24 18 21 24  9 15 15 21  3  9 12  3 21  9 24  6  9 24 18 15 18 24 21 18 18  9 15  3 15  3 15  0  9  3  0 12  9 24 24 12  3 21 21  9 15 18  0 21 21 12 24  6
 0  0  3 24  9  6  3 21  6 21  6  0 18 21 24 18  3 15 24 18 12 18  0  3 21  6 24 18  3 24 15 21  0 15 18 21  3  9  6 12  0 18  3 24  9  3 18  6  3 24 18  6  3  3 15  0 18 12 21 15
 0  0  0  9  0  0 18 18  9 18  9  9 18  9 18  9  9 18 18 18  0  9 18  0  9  0  0  9  0  0  0  9  0  9 18 18  0  0  9  0  9  9  9  9 18 18  0 18  0 18  0 18  9  0 18 18 18  9  0  0

generates a code of length 60 over Z27 who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+228x^113+198x^114+528x^116+410x^117+486x^118+948x^119+1058x^120+972x^121+846x^122+378x^123+168x^125+52x^126+78x^128+38x^129+78x^131+36x^132+24x^134+12x^135+18x^137+2x^144+2x^165

The gray image is a code over GF(3) with n=540, k=8 and d=339.
This code was found by Heurico 1.16 in 0.329 seconds.